Q. What is the length of a chord that is 6 cm from the center of a circle with a radius of 10 cm? (2019)
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A.
8 cm
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B.
12 cm
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C.
10 cm
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D.
6 cm
Solution
Using Pythagoras: chord length = 2√(r² - d²) = 2√(10² - 6²) = 2√(100 - 36) = 2√64 = 16 cm.
Correct Answer: A — 8 cm
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Q. What is the length of a diameter of a circle with a radius of 7 cm? (2022)
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A.
14 cm
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B.
21 cm
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C.
7 cm
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D.
28 cm
Solution
Diameter = 2 × radius; Diameter = 2 × 7 cm = 14 cm.
Correct Answer: A — 14 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021) 2021
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A.
10.47 cm
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B.
15.71 cm
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C.
20.94 cm
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D.
25.13 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer: A — 10.47 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (Use π = 3.14) (2023)
-
A.
10.47 cm
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B.
15.71 cm
-
C.
20.94 cm
-
D.
25.13 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer: A — 10.47 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021)
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A.
10.47 cm
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B.
12.57 cm
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C.
15.71 cm
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D.
20.94 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer: B — 12.57 cm
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Q. What is the length of an arc of a circle with a radius of 4 cm and a central angle of 90 degrees? (2021)
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A.
2π cm
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B.
4π cm
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C.
π cm
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D.
8 cm
Solution
Arc length = (θ/360) * 2πr = (90/360) * 2π * 4 = 2π cm.
Correct Answer: A — 2π cm
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Q. What is the length of an arc of a circle with a radius of 5 cm and a central angle of 60 degrees? (2020)
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A.
5.24 cm
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B.
3.14 cm
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C.
5.00 cm
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D.
10.47 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2π(5) = (1/6) * 10π ≈ 5.24 cm.
Correct Answer: A — 5.24 cm
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Q. What is the length of an arc of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14) (2020)
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A.
6.28 cm
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B.
3.14 cm
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C.
12.56 cm
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D.
9.42 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 6 cm = 6.28 cm.
Correct Answer: A — 6.28 cm
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Q. What is the length of an arc of a circle with radius 5 cm and angle 60 degrees? (2020)
-
A.
5.24 cm
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B.
3.14 cm
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C.
5.00 cm
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D.
6.00 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * π * 5 = 5.24 cm.
Correct Answer: A — 5.24 cm
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Q. What is the radius of a circle if its circumference is 62.8 cm? (2022)
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A.
10 cm
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B.
15 cm
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C.
20 cm
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D.
5 cm
Solution
Circumference = 2πr; 62.8 = 2πr; r = 10 cm.
Correct Answer: A — 10 cm
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Q. What is the radius of a circle if the area is 154 square units? (2023)
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A.
7 units
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B.
14 units
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C.
11 units
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D.
10 units
Solution
Area = πr²; 154 = 22/7 * r²; r² = 154 * 7/22 = 49; r = 7 units.
Correct Answer: A — 7 units
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Q. What is the radius of a circle if the circumference is 31.4 m? (2020)
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A.
5 m
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B.
10 m
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C.
15 m
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D.
20 m
Solution
Circumference = 2πr; 31.4 = 2πr; r = 31.4/(2π) ≈ 5 m.
Correct Answer: A — 5 m
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Q. What is the radius of a circle if the circumference is 62.8 cm? (2016)
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A.
10 cm
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B.
15 cm
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C.
20 cm
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D.
25 cm
Solution
Circumference = 2πr; 62.8 = 2πr; r = 62.8/(2π) ≈ 10 cm.
Correct Answer: A — 10 cm
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Q. What is the radius of a circle if the diameter is 14 cm? (2021)
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A.
7 cm
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B.
14 cm
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C.
21 cm
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D.
28 cm
Solution
Radius is half of the diameter. Therefore, radius = 14 cm / 2 = 7 cm.
Correct Answer: A — 7 cm
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