## A circle is inside a square. The side of the square is 7 cm. Find the area of circle.

Question

A circle is inside a square. The side of the square is 7 cm. Find the area of circle.

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1 month 2021-08-18T03:21:32+00:00 2 Answers 0 views 0

1. ### Solution :-

By observing the diagram given in the picture , we can say that half of side of square equal to the radius of circle

∵ By drawing a square of side = half of side the given square = radius of circle , and as we know that all sides of square are equal = radius . For diagram by this information kindly see the attachment .

In mathematical form ,

Side of square ÷ 2 = Radius of circle

Now , finding area of circle .

Area of circle = πr²

⇒ Area of circle = π(3.5)²

⇒ Area of circle = 22/7 × 3.5 × 3.5

⇒ Area of circle = 22/2 × 3.5

⇒ Area of circle = 11 × 3.5

Area of circle = 38.5 cm²

Step-by-step explanation:

Side of the square = 7 cm

Therefore ,

Diameter of circle is equal to side of square

So r = 7/2

Area of circle = πr^2

(22/7)×(7/2)×(7/2)

11× (7/2)

77/2

38.5 CM square

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