Question

Find the area of the sector. Use 3.14 as an approximation of π. Round answer to the nearest hundreth.

Answer 1

Given

To find: The are of the sector.

Explanation:

It is given that,

That implies,

The area of the sector is,

$A=\frac{\theta}{360\degree}(\pi r^2)$

Here θ=100° and r=7cm.

Then,

$\begin{gathered} A=\frac{100}{360}(3.14\times7^2) \\ =\frac{10}{36}\times(3.14\times49) \\ =42.74cm^2 \end{gathered}$

Hence, the area of the sector is 42.74cm^2.