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

13.09 square cm

Explanation:

The area of a sector is calculated using the formula:

`A=(\theta)/(360\degree)*\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=(60)/(360)*5^2*\pi \\ =(25\pi)/(6) \\ =13.09\;cm^2 \end{gathered}`

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