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

The calculated area of the semicircle is 584.20 square inches

How to determine the area

From the question, we have the following parameters that can be used in our computation:

Length A to D to B = 37 inches

Perimeter of the semicircle = 60.57 inches

The perimeter of the semicircle is calculated using

P = πr

So, we have

πr = 60.57

r = 60.57/π

r = 60.57/3.14

r = 19.29

The area is then calculated as

Area = πr²/2

This gives

Area = π * 19.29²/2

Using 3.14 for π, we have

Area = 3.14 * 19.29²/2

Evaluate

Area = 584.20

Hence, the area of the semicircle is 584.20 square inches

Answer 2

Area of the semi circle = 215.65 sq inches

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 =
`(\pi * r^2)/(2)`

Substituting r = 11.72 in, we get:

`A = (3.14 * (11.72)^2)/(2) = 215.65`

A = 215.65 sq inches