Question

What is the approximate area of the shaded region? Circumscribed square with side length 8 meters. The four regions between the circle and square are shaded. 178.5 square meters 64 square meters 13.76 square meters 21.5 square centimeters

Answer 1

13.76 square meters

Explanation:

The side of square is 8 meters.

So, the diameter of circle = 8 meters.

⇒ Radius = (diameter of circle) ÷ 2 = 8 ÷ 2 = 4 meters

Shaded region = Area of square - Area of circle

= (Side × Side) - π × (radius)²

= 8 × 8 - π × 4 × 4 {∵ π = 3.14 or 22÷7}

= 64 - 50.24

= 13.76 square meter