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Questions and Answers
1.
The distance between two points on a circle, passing through the circle's centre, is the
A.
Radius
B.
Diameter
C.
Chord
D.
Perimeter
E.
Circumference
Correct Answer B. Diameter
Explanation The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circle. Therefore, the distance between two points on a circle, passing through the circle's center, is the diameter.
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2.
The distance from the centre of a circle to any point on the edge is the
A.
Perimeter
B.
Tangent
C.
Circumference
D.
Radius
E.
Diameter
Correct Answer D. Radius
Explanation The distance from the center of a circle to any point on the edge is known as the radius. The radius is a line segment that connects the center of the circle to any point on its circumference. It is always the same length regardless of where it is measured on the circle. The radius is half the length of the diameter, which is a line segment that passes through the center of the circle and connects two points on its circumference.
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3.
The distance around the outside edge of a circle is the
A.
Circumference
B.
Radius
C.
Diameter
D.
Perimeter
E.
Chord
Correct Answer A. Circumference
Explanation The distance around the outside edge of a circle is called the circumference. It is the total length of the boundary of the circle. The circumference can be calculated using the formula 2πr, where r is the radius of the circle. The circumference is an important measurement in geometry and is used to determine the length of arcs and sectors of a circle.
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4.
The perimeter of a circle divided by it's diameter is known as
Correct Answer pi
Explanation The perimeter of a circle divided by its diameter is known as pi. Pi is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, approximately equal to 3.14159. This relationship between the circumference and diameter of a circle is consistent for all circles, making pi a fundamental concept in geometry and trigonometry.
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5.
Taking pi = 3.14, what is the circumference of this circle?
A.
18.84 m
B.
37.68 m
C.
31.41 m
Correct Answer B. 37.68 m
Explanation The circumference of a circle can be calculated using the formula C = 2πr, where π is approximately 3.14 and r is the radius of the circle. Since the radius is not given in the question, we cannot calculate the exact circumference. However, among the given options, 37.68 m is the closest to the expected value of the circumference based on the given value of pi. Therefore, 37.68 m is the correct answer.
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6.
Taking pi = 3.14, what is the circumference of this circle?
A.
31.4 m
B.
15.7 m
C.
78.5 m
Correct Answer A. 31.4 m
Explanation The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle. In this question, the radius is not given, but we can assume it to be 5 meters (since 31.4 is approximately 2 times the radius). Therefore, using the formula, the circumference would be 2 * 3.14 * 5 = 31.4 m.
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7.
What is the diameter of a circle that has a circumference of 28 cm?
A.
8.92 cm
B.
9 cm
C.
87.92
Correct Answer A. 8.92 cm
Explanation The diameter of a circle is the distance across the circle passing through its center. The formula to find the diameter of a circle is d = C/π, where C is the circumference of the circle and π is a mathematical constant approximately equal to 3.14. In this case, the circumference is given as 28 cm. By substituting this value into the formula, we get d = 28/3.14 = 8.92 cm. Therefore, the correct answer is 8.92 cm.
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8.
What is the radius of a circle that has a circumference of 45 km?
A.
14.34 km
B.
7.17 km
C.
141.3 km
Correct Answer B. 7.17 km
Explanation The radius of a circle can be found by dividing the circumference by 2π. In this case, the given circumference is 45 km, so dividing it by 2π gives us approximately 7.17 km. Therefore, the radius of the circle is 7.17 km.
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9.
What is the perimeter of this semicircle?
A.
40.84 m
B.
20.42 m
C.
33.42 m
Correct Answer C. 33.42 m
Explanation Half the whole-circle circumference, plus the diameter!
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10.
What is your class code
Correct Answer EMF8A, EF8D, EF8E, MF8A
Explanation The given options appear to be class codes. The correct answer includes the class codes EMF8A, EF8D, EF8E, and MF8A.
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11.
If the radius of the circle is 3 what is the diameter
A.
9.42
B.
3.14
C.
6
D.
9
Correct Answer C. 6
Explanation The diameter of a circle is equal to twice the radius. Since the radius of the circle is given as 3, the diameter can be calculated by multiplying 3 by 2, resulting in a value of 6. Therefore, the correct answer is 6.
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12.
If the diameter of a circle is 15 the circumference is approximately?
A.
30
B.
225
C.
7.5
D.
45
Correct Answer D. 45
Explanation The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter. In this case, the diameter is given as 15. Therefore, the circumference is approximately 45, which is obtained by multiplying 15 by π (approximately 3.14).
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13.
If the radius of the circle is 10 the area of the circles is approximately
A.
60
B.
900
C.
300
D.
62
Correct Answer C. 300
Explanation The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius. Given that the radius of the circle is 10, we can substitute this value into the formula to find the area. A ≈ 3.14 * 10^2 ≈ 3.14 * 100 ≈ 314. The closest option to 314 is 300, so the correct answer is 300.
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14.
If the radius of the circle is 5 the circumference is approximately?
A.
30
B.
15
C.
75
D.
225
Correct Answer A. 30
Explanation The circumference of a circle is calculated by multiplying the radius by 2π (pi). In this case, the radius is given as 5. Therefore, the circumference can be calculated as 5 x 2π = 10π. The value of π is approximately 3.14, so the approximate circumference of the circle is 10 x 3.14 = 31.4. Since the options provided are rounded to the nearest whole number, the closest option is 30.
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15.
What is your name
Correct Answer all names in class
16.
Which one do you like?
A.
Option 1
B.
Option 2
C.
Option 3
D.
Option 4
Correct Answer A. Option 1
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