The radius of a semicircular plot is 21 m. Find its area and perimeter.

A semicircle is a half of the circle.

Given that radius of the semicircular plot = 21 m

To find the perimeter of the semicircular plot, we need to find the perimeter of the semicircle and add the diameter of the circle to it.

Diameter = AB = 2×radius = 2× 21 = 42 m

We know that circumference of the circle = 2πr

⇒ Perimeter of semicircle = πr

⇒ Perimeter of semicircle

Total perimeter of the semicircular plot = 66 +42 = 108 m

Also, the area of a circle = πr²

⇒ Area of semicircle

⇒ Area of semicircular plot

⇒ Area of semicircular plot