Question

ABCD is a square of side 70cm. Four quarter circle are drawn with each vertex as
centre as shown in the figure. Find the area of the shaded region.​​

Answer 1

Answer:

The area of the shaded region is 1051.55 sq cm

Step-by-step explanation:

As there are four quarter circles with each vertex as their centre , that means that the measurement between the vertex to the mid point of the line is the radius of the quarter circles.

r = 35 cm.

All the 4 quarters circles has the same radius .

Area of the shaded region = Area of square ABCD - Area of 4 quarter circles

= ( Side^2) - ( 4 × Area of a quarter circle)

All quarter circles have same radii .

= (70^2) - ( 4 × (πr^2/4) )

= 4900 - ( π × (35^2) )

= 4900 - 3848.45

= 1051.55