Question

what is the area of the shaded portion
​

Answer 1

Hello Mate,

Here is your answer,

First let's find out the area of the circle,

Area of circle = $\pi {r}^{2}$

Given that radius (r) = 7cm

$\pi {r}^{2} \\ \\ =</p><p></p><p> \frac{22}{7} \times {7}^{2} \\ \\ 22 \times 7 \\ \\ </p><p></p><p>= <strong><em>154</em></strong><strong><em> </em></strong><strong><em>{</em></strong><strong><em>cm</em></strong><strong><em>}</em></strong><strong><em>^</em></strong><strong><em>{</em></strong><strong><em>2</em></strong><strong><em>}</em></strong><strong><em> </em></strong><strong><em>$

Now let's find out area of the total square,

Area of square = ${side}^{2}$

As radius of circle is 7cm,

Side of the square = 7 x 2

= 14cm

Area of square =

${14}^{2}$

$<strong><em>= 196 {cm}^{2}</em></strong>$

Area of shaded part =

Area of square - Area of circle

= 196 - 154

= $42 {cm}^{2}$

Hope it helps:)