Question

Two semicircles of equal radii are cut out of a semicircle piece of cardboard. Find the area of the shaded portion.
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Pls solve this problem it is tough fir me. ​

Answer 1

Answer:

The Area of Shaded portion = 77cm²

Step-by-step explanation:

Given,

• The Diameter of Big Semi-Circle = 14cm

So,

The Radius of Big Semi-Circle = 14/2cm = 7cm

• The Diameter of Small Semi-Circle = 7cm

So,

The Radius of Small Semi-Circle = 7/2cm = 3.5cm

To Find,

• The Area of Shaded portion.

Solution,

The Area of Big Semi-Circle = π × r²

→ The Area of Big Semi-Circle = 22/7 × 7 × 7cm²

→ The Area of Big Semi-Circle = 154cm²

The Area of Small Semi-Circle = π × r²

→ The Area of Small Semi-Circle = 22/7 × 3.5 × 3.5cm²

→ The Area of Small Semi-Circle = 38.5cm²

The Area of Shaded portion = The Area of Big Semi-Circle - 2(The Area of Small Semi-Circle)

→ The Area of Shaded portion = 154cm² - 2(38.5cm²)

→ The Area of Shaded portion = 154cm² - 77cm²

→ The Area of Shaded portion = 77cm²

Required Answer,

The Area of Shaded portion = 77cm²

Answer 2

77cm²

Hope it's helpful to you