The circle below has a radius of 10 centimeters. What is the area of the shaded
region?
10 cm
120
A. 10 square centimeters
B. 50 square centimeters
C. 3 square centimeters
D. 100 3 square centimeters

The circle below has a radius of 10 centimeters What is the area of the shaded region 10 cm 120 A 10 square centimeters B 50 square centimeters C 3 square centi class=

Respuesta :

D I think
Explanation

The area of the shaded segment is 100/3π square centimeter

What is a area?

Area is nothing but the surface bounded by the object in 2D.

What is a segment?

A part of a line or curve between two points In circle we can say segment is nothing but a region or area cutoff from the circle by chord.

What is a segment area?

Area bounded by a segment. Area of segment has a formula (θ/360°)πr²

According to the question

θ=120°

radius =10cm

area of segment = (120°/360°)π(10²)

120°/360° =0.333

10²=100

0.333×π×100

33.3π or (100/3)π

Thus area of the shaded segment is 33.3π or (100/3)π square centimeters

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