Question

A circle is inscribed in a square whose each side is 14 cm ,find the area of circular region and area of remaining portion.​

Answer 1

Answer:

from figure

14=2r

r=7cm

Area of circle =π(r)2

=722×7×7

Area=154cm2....(1)

Also area of (circle)x=(14)2=196cm2

Area pf shaded portion =(196−154)cm2

=42cm2

Area =42cm2

Answer 2

The Area of the circle is 154 cm² while the Remaining area is 42 cm².

Given,

A circle is inscribed inside a square having a side of 14 cm

a = 14 cm

To Find,

Area of circle & Area of the remaining portion

Solution,

In this case,

The Diameter of the circle becomes equal to the side of the square.

2r = a

2r = 14 cm

r = 7 cm

Area of circle = πr²

Area of circle = $\frac{22}{7}$ * 7 * 7

Area of circle = 154 cm²

Remaining area = Area of the Square - Area of the circle

Area of the Square = a²

Area of the Square = 14 * 14 = 196 cm²

Remaining area = 196 - 154 = 42 cm²

Therefore, the Area of the circle is 154 cm² while the Remaining area is 42 cm².

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