Question

The square has sides of length 3 cm and the arcs have centres at the corners. Find the shaded area. ​

Answer 1

Answer:

5.14 cm^2

Step-by-step explanation:

For, circle whose center is at the corner, the radius is 3cm

Therefore, Area = 22/7 * 3 *3 = 28.285 cm^2

So, 1/4 * 28.285 = 7.07 cm^2

Now, for triangle forming at edges where Base = 3 and Height = 3,

Area = 1/2 * 3 * 3 = 4.5 cm^2

So, 7.07 - 4.5 = 2.57 cm^2 that is 1/2 * the shaded region.

So, 2.57 * 2 = area of shaded region = 5.14 cm^2