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 inch

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

in progress 0
Adalyn 1 month 2021-10-18T18:44:33+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-18T18:46:31+00:00

    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

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )