Latihan Soal Mtk Kelas 6: Lingkaran (Rumah Belajar Famili)

1. Perhatikan gambar di bawah ini! Nama bagian lingkaran yang ditunjukkan oleh garis AB, AC, dan OB disebut...

AB=Juring, AC=Tali Busur, OB= Jari-jari

AB=Jari-jari, AC=Diameter, OB= Tali Busur

AB=Diameter, AC=Jari-jari, OB=Tali busur

AB=DIameter, AC=Tali busur, OB=Jari-jari

The correct answer is AB=Diameter, AC=Tali busur, OB=Jari-jari. The line AB divides the circle into two equal parts, which is the definition of a diameter. The line AC is a segment that connects two points on the circle, which is the definition of a tali busur. The line OB is the distance from the center of the circle to any point on the circle, which is the definition of a jari-jari.

Explanation

The correct answer is AB=Diameter, AC=Tali busur, OB=Jari-jari. The line AB divides the circle into two equal parts, which is the definition of a diameter. The line AC is a segment that connects two points on the circle, which is the definition of a tali busur. The line OB is the distance from the center of the circle to any point on the circle, which is the definition of a jari-jari.

2. Sudut yang oleh 1/5 lingkaran adalah...

180 derajat

120 derajat

90 derajat

72 derajat

The angle formed by 1/5 of a circle is 72 degrees. This can be determined by dividing the total degrees in a circle, which is 360 degrees, by the number of equal parts the circle is divided into, which is 5 in this case. Therefore, 360 degrees divided by 5 equals 72 degrees.

Explanation

The angle formed by 1/5 of a circle is 72 degrees. This can be determined by dividing the total degrees in a circle, which is 360 degrees, by the number of equal parts the circle is divided into, which is 5 in this case. Therefore, 360 degrees divided by 5 equals 72 degrees.

3. Keliling lingkaran yang memiliki diameter 70 cm adalah 110 cm.

Salah

Betul

Keliling lingkaran dapat dihitung dengan menggunakan rumus K = πd, di mana K adalah keliling, π adalah pi (3.14), dan d adalah diameter lingkaran. Dalam kasus ini, diameter lingkaran adalah 70 cm. Jika kita menggantikan nilai d ke dalam rumus, maka kelilingnya akan menjadi K = 3.14 x 70 = 219.8 cm. Oleh karena itu, keliling lingkaran yang memiliki diameter 70 cm seharusnya adalah 219.8 cm, bukan 110 cm.

Explanation

Keliling lingkaran dapat dihitung dengan menggunakan rumus K = πd, di mana K adalah keliling, π adalah pi (3.14), dan d adalah diameter lingkaran. Dalam kasus ini, diameter lingkaran adalah 70 cm. Jika kita menggantikan nilai d ke dalam rumus, maka kelilingnya akan menjadi K = 3.14 x 70 = 219.8 cm. Oleh karena itu, keliling lingkaran yang memiliki diameter 70 cm seharusnya adalah 219.8 cm, bukan 110 cm.

4. Sebuah lingkaran memiliki keliling 62,8 cm. Maka panjang jari-jari lingkaran tersebut adalah 10 cm. (π=3,14)

Salah

Betul

The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle. In this question, it is given that the circumference of the circle is 62.8 cm. By rearranging the formula, we can solve for the radius: r = C / (2π) = 62.8 / (2 * 3.14) = 10 cm. Therefore, the length of the radius of the circle is 10 cm.

Explanation

The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle. In this question, it is given that the circumference of the circle is 62.8 cm. By rearranging the formula, we can solve for the radius: r = C / (2π) = 62.8 / (2 * 3.14) = 10 cm. Therefore, the length of the radius of the circle is 10 cm.

5. Bagian lingkaran yang memiliki luas yaitu...

Tali busur dan juring

Juring dan busur lingkaran

Tembereng dan juring

Apotema dan juring

The correct answer is "Tembereng dan juring." A tembereng is a segment of a circle that is bounded by a chord and an arc. A juring is a sector of a circle that is bounded by two radii and an arc. Both tembereng and juring have an area because they are parts of a circle.

Explanation

The correct answer is "Tembereng dan juring." A tembereng is a segment of a circle that is bounded by a chord and an arc. A juring is a sector of a circle that is bounded by two radii and an arc. Both tembereng and juring have an area because they are parts of a circle.

6. Keliling lingkaran yang memiliki jari-jari 10 cm adalah 31,4 cm.

Betul

Salah

The given statement is incorrect. The circumference of a circle with a radius of 10 cm can be calculated using the formula C = 2πr, where C is the circumference and r is the radius. Plugging in the values, we get C = 2π(10) = 20π cm, which is approximately 62.8 cm. Therefore, the correct answer is "Salah" (Wrong).

Explanation

The given statement is incorrect. The circumference of a circle with a radius of 10 cm can be calculated using the formula C = 2πr, where C is the circumference and r is the radius. Plugging in the values, we get C = 2π(10) = 20π cm, which is approximately 62.8 cm. Therefore, the correct answer is "Salah" (Wrong).

7. Luas bangun 3/4 lingkaran yang memiliki jari-jari 40 cm adalah 3.678 cm persegi.

Betul

Salah

The given statement is incorrect. The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle. In this case, the radius is 40 cm, so the correct formula to calculate the area would be A = π(40)^2. The correct answer should be a numerical value, not 3.678 cm persegi. Therefore, the given answer "Salah" (Wrong) is correct.

Explanation

The given statement is incorrect. The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle. In this case, the radius is 40 cm, so the correct formula to calculate the area would be A = π(40)^2. The correct answer should be a numerical value, not 3.678 cm persegi. Therefore, the given answer "Salah" (Wrong) is correct.

8. Nilai π (22/7 atau 3,14) diperoleh dari ...

Keliling dikali jari-jari

Keliling dibagi jari-jari

Keliling dibagi diameter

Keliling dikali diameter

Nilai π (pi) diperoleh dari membagi keliling dengan diameter.

Explanation

Nilai π (pi) diperoleh dari membagi keliling dengan diameter.

9. Garis yang menghubungkan 2 jari-jari yang berdekatan dan letaknya ada di bagian dekat busur lingkaran disebut...

Apotema

Tali busur

Jari-jari

Diameter

The correct answer is "Tali busur." Tali busur adalah garis yang menghubungkan dua jari-jari yang berdekatan dan letaknya ada di bagian dekat busur lingkaran. Ini berbeda dengan diameter, yang merupakan garis yang melintasi pusat lingkaran dan memiliki panjang dua kali jari-jari. Apotema adalah jarak dari pusat lingkaran ke sisi segitiga yang terbentuk oleh busur lingkaran, dan bukan merupakan garis yang menghubungkan dua jari-jari.

Explanation

The correct answer is "Tali busur." Tali busur adalah garis yang menghubungkan dua jari-jari yang berdekatan dan letaknya ada di bagian dekat busur lingkaran. Ini berbeda dengan diameter, yang merupakan garis yang melintasi pusat lingkaran dan memiliki panjang dua kali jari-jari. Apotema adalah jarak dari pusat lingkaran ke sisi segitiga yang terbentuk oleh busur lingkaran, dan bukan merupakan garis yang menghubungkan dua jari-jari.

10. Berikut ini yang merupakan pernyataan yang salah sesuai gambar lingkaran di bawah ini adalah...

OA = OB = OC = Jari-jari

OD merupakan apotema, yaitu garis yang tegak lurus dengan tali busur dan membagi tali busur menjadi 2 sama panjang

Panjang tali busur ADC = panjang busur lingkarang AC

Bagian yang berwarna hijau disebut juring, sedangkan yang berwarna oranye disebut tembereng

The given statement is incorrect because the length of the chord ADC is not equal to the length of the arc AC. The length of the chord ADC is shorter than the length of the arc AC.

Explanation

The given statement is incorrect because the length of the chord ADC is not equal to the length of the arc AC. The length of the chord ADC is shorter than the length of the arc AC.

11. Jika panjang d pada bangun di bawah ini adalah 140 mm, bagaimana cara menghitung luas bangun tersebut?

L = 1/2 x 3,14 x 140 x 140

L = 1/2 x 22/7 x 140 x 140

L = 1/2 x 22/7 x 70 x 70

L = 1/2 x 3,14 x 70 x 70

The given correct answer shows the calculation of the area of the shape using the formula L = 1/2 x 22/7 x 70 x 70. The shape is not specified in the question, but based on the given formula, it can be inferred that the shape is a circle. The formula for the area of a circle is A = πr^2, where r is the radius. In this case, the radius is given as 70 mm, so the formula is simplified to L = 1/2 x 22/7 x 70 x 70.

Explanation

The given correct answer shows the calculation of the area of the shape using the formula L = 1/2 x 22/7 x 70 x 70. The shape is not specified in the question, but based on the given formula, it can be inferred that the shape is a circle. The formula for the area of a circle is A = πr^2, where r is the radius. In this case, the radius is given as 70 mm, so the formula is simplified to L = 1/2 x 22/7 x 70 x 70.

12. Ayah memiliki kolam ikan yang berbentuk lingkaran. Keliling kolam tersebut adalah 154 cm. Berapa diameter kolam ikan tersebut?

35 cm

42 cm

49 cm

56 cm

The circumference of a circle is calculated using the formula C = πd, where C is the circumference and d is the diameter. In this case, the circumference is given as 154 cm. By rearranging the formula, we can solve for the diameter: d = C/π. Plugging in the given circumference, we get d = 154/π. Evaluating this expression gives us approximately 49 cm. Therefore, the diameter of the fish pond is 49 cm.

Explanation

The circumference of a circle is calculated using the formula C = πd, where C is the circumference and d is the diameter. In this case, the circumference is given as 154 cm. By rearranging the formula, we can solve for the diameter: d = C/π. Plugging in the given circumference, we get d = 154/π. Evaluating this expression gives us approximately 49 cm. Therefore, the diameter of the fish pond is 49 cm.

13. Berapa luas lingkaran yang memiliki keliling 314 cm?

31.400 cm persegi

3.140 cm persegi

7.850 cm persegi

785 cm persegi

The correct answer is 7.850 cm persegi. The question asks for the area of a circle with a circumference of 314 cm. To find the area, we can use the formula A = πr^2, where r is the radius of the circle. The formula for the circumference is C = 2πr. By rearranging the formula for C, we can solve for r: r = C/(2π). Plugging in the given circumference of 314 cm, we get r = 314/(2π) ≈ 50 cm. Finally, we can calculate the area using the formula A = πr^2: A = π(50)^2 ≈ 7.850 cm persegi.

Explanation

The correct answer is 7.850 cm persegi. The question asks for the area of a circle with a circumference of 314 cm. To find the area, we can use the formula A = πr^2, where r is the radius of the circle. The formula for the circumference is C = 2πr. By rearranging the formula for C, we can solve for r: r = C/(2π). Plugging in the given circumference of 314 cm, we get r = 314/(2π) ≈ 50 cm. Finally, we can calculate the area using the formula A = πr^2: A = π(50)^2 ≈ 7.850 cm persegi.

14. Bagaimana rumus mencari keliling bangun di bawah ini?

K = π x d

K = 1/2 x π x d

K = 1/2 x 2 x π x d

K = (1/2 x π x d) + d

The given formula is used to find the circumference of a circle. The formula is K = (1/2 x π x d) + d, where K represents the circumference and d represents the diameter of the circle. The first part of the formula, (1/2 x π x d), calculates half of the circumference using the diameter. The second part, + d, adds the diameter to the half circumference to get the full circumference.

Explanation

The given formula is used to find the circumference of a circle. The formula is K = (1/2 x π x d) + d, where K represents the circumference and d represents the diameter of the circle. The first part of the formula, (1/2 x π x d), calculates half of the circumference using the diameter. The second part, + d, adds the diameter to the half circumference to get the full circumference.

15. Bagaimana cara mencari luas bangun datar di bawah ini?

L bangun = (1/2 x 8 x 6) + (1/2 x 3,14 x 10 x 10)

L bangun = (1/2 x 10 x 8) + (1/2 x 3,14 x 5 x 5)

L bangun = (1/2 x 8 x 12) + (3,14 x 10 x 10)

L bangun = (1/2 x 10 x 12) + (3,14 x 5 x 5)

To find the area of the given shape, you need to use the formulas for the area of a triangle and the area of a circle. In this case, the shape consists of two triangles and a circle. The first term in the equation, (1/2 x 10 x 12), represents the area of a triangle with a base of 10 and a height of 12. The second term, (3.14 x 5 x 5), represents the area of a circle with a radius of 5. By adding these two terms together, you can find the total area of the shape.

Explanation

To find the area of the given shape, you need to use the formulas for the area of a triangle and the area of a circle. In this case, the shape consists of two triangles and a circle. The first term in the equation, (1/2 x 10 x 12), represents the area of a triangle with a base of 10 and a height of 12. The second term, (3.14 x 5 x 5), represents the area of a circle with a radius of 5. By adding these two terms together, you can find the total area of the shape.