Question

A wall piecehas six semicircle attached to a regular polygon of six sides. If perimeter of the polygon is 480cm . Find the area covered by the semicircles

Answer 1

Answer:

$15085.71 {cm}^{2} (approx)$

Step-by-step explanation:

Given,

perimeter of polygon having 6sides=480

we know,

perimeter of a regular polygon=6×side

480=6×side

side=80cm

Now, 80cm will be the diameter of each semicircle

So, radius=80/2=40cm

total area covered by 6 semicircles=(6×22×40×40)÷(7×2)

=15085.71428

=

$15085.71 {cm}^{2} (approx)$