A circle has a radius of 21 cm and a central angle measuring 135°. What is the perimeter of the corresponding sector?

Explanation

The perimeter of a sector equals the length of the arc plus twice the radius. Calculate the arc length as (135/360) × 2 × (22/7) × 21 = 49.5 cm. Adding twice the radius (2 × 21 = 42 cm) gives the total perimeter: 49.5 + 42 = 91.5 cm.