Question

What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2

Answer 1

The area of the shaded region or portion in the circle is (25π - 24) cm².

How to find the area of the shaded portion in the circle?

The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.

Therefore,

area of the circle = πr²

where

• r = radius

area of a triangle = 1/ 2 bh

where

• b = base
• h = height

Therefore,

r = 5 cm

area of circle = 5²π = 25π cm

area of one triangle = 1 / 2 × 6 × 4 = 12 cm²

The area of the two triangles = 2(12) = 24 cm²

Hence,

area of the shaded portion = (25π - 24) cm²

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