What is the perimeter of a sector of a circle (in cm) if the radius of the
circle is 10.5 cm and the angle subtended at the centre of the circle is 60°?
(Use π = 22/7)
Correct Answer:
A. 32
Explanation:
The correct answer is Option A: 32.
To find the perimeter of a sector, you must add the length of the arc to the lengths of the two radii that form the sector. First, calculate the arc length using the formula (θ/360) × 2πr. Substituting the given values (60/360) × 2 × (22/7) × 10.5, the arc length is 11 cm. Next, add the two radii (10.5 cm + 10.5 cm = 21 cm) to the arc length. The total perimeter is 11 cm + 21 cm, which equals 32 cm.
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