Question

The length around the outside of semicircle C from point A to point D to point B is 37 inches. The perimeter of the semicircle is 60.57 inches. Use 3.14 for pi. What is the area

Answer 1

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   = $\frac{\pi \times r^2}{2}$

Substituting r  = 11.72 in, we get:

$A = \frac{3.14 \times (11.72)^2}{2} = 215.65$

A = 215.65 sq inches