Question

What is the area formula for a half-circle?

Answer 1

Determine the area formula for a half-circle.

A circle is a shape consisting of points in a plane such that each point is equidistant from a fixed point (the center).

A half-circle is also known as a semicircle which is a one-dimensional locus of points that forms half of a circle.

Since the area of a circle is $\pi r^2$.

So, the area of a semicircle or half-circle is $\frac{1}{2}\left(\pi r^2\right)$, where $\text{'}r\text{'}$ is the radius.

Hence, the area formula for a half-circle is $\frac{1}{2}\left(\pi r^2\right)$.