Question

ABCD is a square of side 14 centimetre taking each vertex of square has Centre four equal circles of radius 7cm are drawn as shown in the figure find the area of the shaded region

Answer 1

*find area of one circle and subtract from square area:-

4 quadrants make one circle

area of square -14²=196cm²

area of circle -πr²=22/7×7×7;
22×7(because 7 divides 7)=
154cm²
area of shaded region =196-154=42cm²

hope it helps you dear mate! ***

Answer 2

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Here is your answer.

Given:

Side of Square = 14m

With each vertex as center, circles are formed of radius 7m

To find:. The area of the shaded portion

1 Circle = 4 quarter circles

1 quarter circle is at every point

= 4 points = 4 quarter circles

Therefore,. We have to find the area of a circle of radius 7m.

Area of shaded portion = Area of Square - Area of Circle

$= {(side)}^{2} -( \pi {r}^{2} ) \\ \\ = (14) {}^{2} - ( \frac{22 \times 7 \times 7}{7} ) \\ \\ = 196 - 154 \\ \\ = 42 {m}^{2}$
Therefore, Area of shaded portion is 42 ${m}^{2}$

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