Question

The diameter of a circle is 6 centimeters. What is the area of a sector bounded by a 180° arc?Give the exact answer in simplest form. ____ square centimeters.

Answer 1

We can use the formula below to find the area of the segment:

$A=\frac{1}{2}\pi r^2$

Since the diameter is given as 6 cm, the radius will be half of that, which is 3 cm.

Using π = 3.14, we can solve as

$\begin{gathered} A=\frac{1}{2}\times3.14\times3^2 \\ A=\frac{1}{2}\times3.14\times9 \\ A=14.13\operatorname{cm}^2 \end{gathered}$

Therefore, the area of the sector is 14.13 square centimeters.