Question

find the area of the shaded region​

Answer 1

Step-by-step explanation:

first find

area of circle=

r=d/2=14/2=7

r=7 and area= 22/7 ×7×7

=154sq. cm

now area of square =

side= 14/root2

area= 98sq. cm

area of shaded region = area of circle -area of f square =

154-98= 56sq. cm

Answer 2

Answer:

Therefore, 56 cm^2 is the answer.

Step-by-step explanation:

From the figure, we know that area of shaded region = Area of circle - Area of square.

So, Let us first find the area of the circle-

Area of circle =

$\pi {r}^{2}$

Here radius of the circle is 7 cm (as the diagonal of the square is the diameter of the circle. And radius is half of the diameter of the cirlce)

Therefore, on putting the values we get-

$\frac{22}{7} \times 7 \times 7$

Therefore, on solving it we get the answer as 154 cm^2

Now, let us find the area of square -

We know that the diameter of the circle is the diagonal of the square.

And diagonal of square = √2 * Side

Therefore,

$14 = \sqrt{2} \times side$

On solving it we get the side as 7√2 cm

Now area of square = (Side)^2

Area of square = 98cm^2

Now area of shaded region = Area of circle -area of square.

Therefore, 154-98 = 56cm^2

Therefore, 56 cm^2 is the answer.