What is the Formula for the Area of a Half Circle?

Answer – The formula for the area of a half circle is $\frac{π r^{2}}{2}$ .

Explanation:

The region enclosed by the boundary of a half circle, or semicircle, represents its area.

Semicircle with radius r

Since a semicircle is half a circle, its area will also be half that of a complete circle.

A circle’s area is given by $π r^{2}$ , where r is its radius.

$\Rightarrow A r e a o f a h a l f c i r c l e = \frac{1}{2} \times A r e a o f a c i r c l e$

$= \frac{1}{2} \times π r^{2}$

$= \frac{π r^{2}}{2}$

Thus, the formula for the area of a half circle is $\frac{π r^{2}}{2}$ .

Textbook Solutions

Area Geometry Half Circle Math Semicircle

Have homework questions? Get answers!*

Our experts are available 24/7 to help answer your homework questions in 30 subjects... and growing!