Question

If the perimeter of semi circular park is 72m find its area and radius

Answer 1

Hope u like the solution please give 5stars

Answer 2

Heya !
_____

______________________________________________________

→Given that :

=> Perimeter of semi circular park = 72 m


★Now , we know that the term perimeter implies the boundary i,e basically the Circumference of the semi circle .

★Also , in a semi circle , the perimeter will include half the boundary + the diameter .

This means ,

Perimeter of semi circle = ½ × 2πr + diameter

=> πr + 2r ( diameter = 2 × radius )

=> r ( π + 2 ) = 72

=> r ( 22/7 + 2 ) = 72

=> r ( 36/7 ) = 72

=> r = 14 m ✔
-------------------


Now , area of semi circle = ½ × πr²

=> ½ × 22/7 × 14 × 14

=> 308 m²

★Hence radius of the semi circular park is 14m and area is 308m²

$....$

______________________________________________________