Question

What is the area of the sector

shown in the diagram below?


OA. 11.1 cm²
OB. 2.5 cm²
OC. 39.3 cm²
OD. 50 cm²

Answer 1

OC. 39.3 cm²

Explanation:

Area of a circle = πr² (π ≈ 3.14)

45 degrees = 1/8 of a full circle

Area of the full circle : 3.14 × 10² =

3.14 × 100 = 314 cm²

Area of the sector : 314 × 1/8 = 39.25 cm² ≈ 39.3 cm²