Arc length = (angle/360) x 2 pi r: find arc, radius or angle (incl. part of a circumference)
This type of question, asked 12 times: 17 Jul 2023 S2, 19 Jul 2023 S1, 21 Jul 2023 S4, 12 Sep 2024 S3, 13 Sep 2024 S1, 17 Sep 2024 S1, 26 Sep 2024 S2, 12 Sep 2025 S2, 15 Sep 2025 S3, 17 Sep 2025 S2, 23 Sep 2025 S1, 26 Sep 2025 S3. All 12 questions below, oldest first.
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Question 1
17 Jul 2023 S2
64An arc of length 23.1 cm subtends an angle at the centre. What is the area of the circle? [Use ]Tap an option to check your answer.
Question 2
19 Jul 2023 S1
68Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of . [Use ]Tap an option to check your answer.
Question 3
21 Jul 2023 S4
65An arc on a circle, whose length is 19.25 cm, subtends an angle at the centre. What is the area of the circle? [Use .]Tap an option to check your answer.
Question 4
12 Sep 2024 S3
75If the sectorial angle with radius 9.6 units is , what is the length of the arc?Tap an option to check your answer.
Question 5
13 Sep 2024 S1
53From a circle of radius 7 units, an arc length is cut by a chord of length 7 units. What is the arc length of the smaller portion (in units)?Tap an option to check your answer.
Question 6
17 Sep 2024 S1
74At what angle is the arc length half the perimeter of the circle?Tap an option to check your answer.
Question 7
26 Sep 2024 S2
68The central angle of a sector is and whose length is . What is the radius of the circle?Tap an option to check your answer.
Question 8
12 Sep 2025 S2
69What is the central angle of a sector with an arc length of 10 cm in a circle of radius 5 cm?Tap an option to check your answer.
Question 9
15 Sep 2025 S3
72A circular clock has a radius of 14 cm. Calculate the distance covered by the tip of the minute hand in 30 minutes, assuming it is positioned at the edge of the clock face? (Use = 22/7)Tap an option to check your answer.
Question 10
17 Sep 2025 S2
66A circular garden has a diameter of 28 m. If a gardener wants to fence 75% of the garden's circumference, what length of fencing is needed? (Use )Tap an option to check your answer.
Question 11
23 Sep 2025 S1
68A circular jogging track has a radius of 50 m. A runner covers a curved path that subtends an angle of at the center. What is the length of the arc she runs?Tap an option to check your answer.
Question 12
26 Sep 2025 S3
56The angle subtended by an arc at the center is , and its length is 22 cm. Find the radius of the circle.Tap an option to check your answer.