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Have you studied circles well in the Geometry section of Math? To test your understanding of circles, take this quiz. When it comes to a circle, there are different terms and formulas associated with it. Here, in this quiz, we have got a few basic questions about circles that will help you test your knowledge as well as enhance your learnings. If you have practiced the circle formulas well, it will be an easy quiz for you. All the best!
Questions and Answers
1.
Look at the picture. What is A?
A.
Chord
B.
Radius
C.
Sector
D.
Diameter
Correct Answer B. Radius
Explanation The correct answer is "Radius" because in the picture, A is the line segment that connects the center of the circle to any point on the circumference. The radius is always half the length of the diameter and it helps determine the size and proportions of the circle.
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2.
Calculate the circumference of a circle with a diameter 2m. Use π=3.142
A.
6.284m
B.
5.1m
C.
23.1m
D.
4.163m
Correct Answer A. 6.284m
Explanation The circumference of a circle can be calculated by multiplying the diameter by π (pi). In this case, the diameter is given as 2m. So, the circumference would be 2 * 3.142 = 6.284m.
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3.
Calculate the circumference of a circle with a radius of 12cm. Use π = 3.142
A.
34
B.
69.1
C.
75.4
D.
56.51
Correct Answer C. 75.4
Explanation The formula to calculate the circumference of a circle is 2πr, where r is the radius of the circle. In this case, the radius is given as 12cm. Using the value of π as 3.142, we can substitute the values into the formula and calculate the circumference. 2 * 3.142 * 12 = 75.4. Therefore, the correct answer is 75.4.
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4.
Is C the diameter of the circle?
A.
Yes
B.
No
Correct Answer A. Yes
Explanation The answer is "Yes" because the diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circumference. In this case, if C is the diameter of the circle, it means that it meets the criteria of being a line segment passing through the center, so the answer is "Yes".
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5.
The formulae 2πr, the 'r' stands for
Correct Answer radius
Explanation The formula 2πr is used to calculate the circumference of a circle, where r represents the radius of the circle. The radius is the distance from the center of the circle to any point on its edge. Therefore, in the given formula, the 'r' stands for radius.
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6.
Find diameter of a circle with a circumference of 36cm. Use π=3.142.
A.
13.2cm
B.
17cm
C.
11.5cm
D.
20.2cm
Correct Answer C. 11.5cm
Explanation The formula to find the diameter of a circle is circumference divided by π. In this case, the circumference is given as 36cm and π is given as 3.142. By dividing 36 by 3.142, we get approximately 11.5cm, which is the diameter of the circle.
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7.
Find the radius of a circle with a circumference of 63.5mm. Use π=3.142.
A.
10.11mm
B.
21.5mm
C.
23.5mm
D.
17.5mm
Correct Answer A. 10.11mm
Explanation The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius of the circle. In this case, we are given the circumference as 63.5mm. Rearranging the formula, we can solve for the radius by dividing the circumference by 2π. Using the value of π as 3.142, we can calculate the radius as 63.5mm / (2 * 3.142) = 10.11mm. Therefore, the correct answer is 10.11mm.
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8.
A round-shaped cake has a circumference of 54 cm. What is the radius of the cake?
A.
4.66cm
B.
6.78cm
C.
8.59cm
D.
8.00cm
Correct Answer C. 8.59cm
Explanation The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. In this case, we are given that the circumference is 54 cm. Plugging this into the formula, we get 2πr = 54. Solving for r, we find that the radius is approximately 8.59 cm.
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9.
Calculate the arc length of the sector given in the picture. Use π = 3.142
A.
3.15cm
B.
5.498cm
C.
6.0cm
D.
2.29cm
Correct Answer B. 5.498cm
Explanation 75 / 360 x (2 π r) = 5.498
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10.
A ball fits exactly into a square box, as shown in the diagram. If the length of the box is 21cm, find the circumference of the circle. Use π = 3.142
A.
70 cm
B.
65.98 cm
C.
56.45 cm
D.
86.43 cm
Correct Answer B. 65.98 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 case, the ball fits exactly into the square box, so the diameter of the circle is equal to the length of the box. The radius of the circle is then half of the diameter, which is 21cm/2 = 10.5cm. Plugging this value into the formula, we get C = 2 * 3.142 * 10.5 = 65.98 cm. Therefore, the circumference of the circle is 65.98 cm.
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