Area of the semi circle = 215.65 sq inches
Step-by-step explanation:
Here, given: The perimeter of the semi circle = 60.27 inches
Let us assume the radius of the circle = r
Now, the perimeter of the semicircle is given as :
P = πr + 2r
⇒ πr + 2r = 60 . 27
or, r(π + 2) = 60. 27 ⇒ r (3.14 + 2) = 60.27
or, r x 5.14 = 60.27
or, r = 60.27/5.14 = 11.72 inches
⇒ The radius of the circle is 11.72 inches.
Now, the AREA of the semicircle = [tex]\frac{\pi \times r^2}{2}[/tex]
Substituting r = 11.72 in, we get:
[tex]A = \frac{3.14 \times (11.72)^2}{2} = 215.65[/tex]
A = 215.65 sq inches
