The perimeter of a semicircle is 10.28 centimeters. What is the semicircle's diameter?

Question

Please give the straight answer

Answer 1

Hi Suc, the equation for the perimeter of a circle is: P_c = pi * D, where P is the perimeter and D is the diameter.

For your question, The perimeter of a semicircle is: P_s = D + 1/2 * pi * D

Solving this for D gives: D = P_s / (1 + 1/2 * pi)

Substituting for P_s (10.28) and pi (3.14) gives:

D = 10.28 / (1 + 1/2 * 3.14)

D = 3.997 centimeters, or 4.0 centimeters rounded.

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