Question

the length of a side of an equilateral triangle is 8 cm the are of the region lying between the circum circle and the incircle​

Answer 1

Answer:

Area ≈ 50.29

Step-by-step explanation:

Radius of incircle = side/(2√3) = 8/2√3 = 4/√3

Radius of circumcircle = side/√3 = 8/√3

Area of incircle = pi×r² = pi×(4/√3)² = 16pi/3

Area of circumcircle = pi×R² = pi×(8/√3)² = 64pi/3

Area lying between these two = Area of circumcircle - Area of incircle

= 64pi/3-16pi/3

= 48pi/3

= 16pi

= 16×22/7

= 352/7

≈ 50.29