Question

Determine the measure of the area of

a sector of 90° in a circle whose
diameter measures 13 centimeters

Answer 1

Area of sector = 132.78 cm² (Approx.)

Explanation:

Given:

Angle created by sector = 90°

Diameter of circle = 13 centimeters

Find:

Area of sector

Computation:

Radius of sector = Diameter of circle / 2

Radius of sector = 13 / 2

Radius of sector = 6.5 centimeters

Area of sector = [θ/360]πr²

Area of sector = [90/360][22/7][13]²

Area of sector = [1/4][22/7][169]

Area of sector = [0.25][3.1428][169]

Area of sector = 132.78 cm² (Approx.)