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:

1050 sq.cm

Step-by-step explanation:

STEP 1 : TO FIND THE AREA OF THE SQUARE.

Area of Square = 70 × 70 = 4900 sq.cm

STEP 2 : TO FIND THE AREA OF THE FOUR QUARTER CIRCLES.

Four quarter circles make a single circle. So, the radius

of the complete circle is 35 cm.

Area of a circle = 22/7 × 35 × 35

= 3850 sq.cm.

STEP 3 : TO FIND THE AREA OF SHADED REGION.

Area of Square - Area of circle = Area of shaded region.

= 4900 - 3850 = 1050 sq.cm

Therefore, area of shaded region = 1050 sq.cm

Hope it is helpful