Question

Find the perimeter of the semicircle with radius 10 cm.​

Answer 1

Answer:

Hey Mate,

Given,

Radius of the Semicircle = 10 cm

Diameter of the Semicircle = 2 ( Radius ) = 2 ( 10 cm ) = 20 cm

Perimeter of a circle =  

Therefore, perimeter of a semicircle =  

( The extra " + d " is there because, once a circle has been cut into a semicircle, the diameter of the circle gets included, which is not included in the perimeter of a circle )

Therefore, perimeter of the semicircle =

( 1 / 2 ) ( 22 / 7 ) ( 20 ) + ( 20 )

=> Perimeter of the semicircle = ( 22 / 7 ) ( 10 ) + 20

=> Perimeter of the semicircle = 220 / 7 + 20

=> Perimeter of the semicircle = 220 / 7 + 140 / 7

=> Perimeter of the semicircle = 360 / 7

=> Perimeter of the semicircle = 51.428571428 cm

Therefore, the perimeter of a semicircle whose radius is 10 cm is 51.428571428 cm.

Hope it Helps!