The radius of a semicircle is 16 centimeters. What is the semicircle's area?
The area of a semicircle is half of the area of a full circle with the same radius. The formula for the area of a circle is A = πr^2, so the area of a full circle with a radius of 16 cm is:
A = π(16 cm)^2
A = 256π cm^2
To find the area of the semicircle, we divide this by 2:
A(semicircle) = 256π/2
A(semicircle) = 128π cm^2
Therefore, the area of the semicircle is 128π square centimeters. If you need a numerical approximation, you can use the value of π as 3.14:
A(semicircle) ≈ 401.92 cm^2