Question

find the area of the shaded portion.​

Answer 1

Answer:

a. area of square =196

area of semicircle = 22/7 *7*7

=154/2

=77

area of shaded portion = 196 -77

= 119

b. area of big quarter=22/7*21*21

=22*3*21

=1386/4

=346.5

area of small quarter = 22/7*14*14

=616/4

=154

area of shaded portion =346.5-154

=192.5

Answer 2

Answer:

$\large \underline{\boxed{\mathsf{119m^2}}}$

Step-by-step explanation:

Given :

To find area of shaded region

(a) A semi-circle inside square

Now in this to find the area of the shaded region we will find the area of the square then subtract area of semi circle from it.

>>Now we know area of square

$\boxed{\mathsf{(Side)^2}}$

$\mathsf{\implies \: 14m \times 14m}$

$\mathsf{\implies 196m^2}$

>>Now area of semi-circle equal to

$\boxed{\mathsf{\dfrac{1}{2}\pi \: r^2}}$

$\mathsf{\implies \dfrac{1}{2} \dfrac{22}{7} {7}^{2} }$

$\mathsf{\implies \dfrac{1}{\cancel{2}} \dfrac{\cancel{22}}{\cancel{7}} \cancel{7} \times 7 }$

$\mathsf{\implies 11 \times 7m^2 }$

$\mathsf{= 77m^2}$

Now area of the shaded region

Area of square - area of semi-circle

$\mathsf{\implies 196m^2 - 77m^2}$

$\boxed{\mathsf{119m^2}}$

(b) check the attachment