Question

What is the area of the sector in the image above? Type pi in the calculator and round youranswer to the nearest hundredth.

Answer 1

Answer:

13.09 square cm

Explanation:

The area of a sector is calculated using the formula:

$A=\frac{\theta}{360\degree}\times\pi r^2\text{ where }\begin{cases}\theta=Central\text{ angle} \\ r=radius\end{cases}$

From the diagram:

• θ = 60°

,

• r= 5 cm

Therefore:

$\begin{gathered} A=\frac{60}{360}\times5^2\times\pi \\ =\frac{25\pi}{6} \\ =13.09\;cm^2 \end{gathered}$

The area of the sector is 13.09 square cm (rounded to the nearest hundredth).