Question

If a circle has a radius of one in the sector defined by a 37° arc what is the area in centimeter squared of the sector

Answer 1

(37/360)π cm² ≈ 0.322886 cm²

Explanation:

The area of a sector is given by the formula ...

A = (1/2)r²θ . . . . . where r represents the radius and θ is the central angle is radians

Here, you have r = 1 cm, and θ = (37°·π/180°), so the area is ...

A = (1/2)(1 cm)²·(37π/180) = 37π/360 cm²

A ≈ 0.322886 cm²