Round the result to the nearest tenth of a unit.

Question

asked Jan 15, 2023 47.7k views

1 Answer

Dan Alvizu · Answer 1 · 2023-01-22T00:57:21+0000

We have that the area of the sector of a circle can be found with the following equation:

$A=(\theta)/(360)\pi r^2$

where theta is the measure of the angle and r is the radius. In this case, we have the following:

$\begin{gathered} \theta=60 \\ r=6 \end{gathered}$

then,using the formula for the area of a sector, we have:

$A=(60)/(360)(3.14)(6)^2=(2160)/(360)(3.14)=6\cdot3.14=18.84\operatorname{cm}^2$

therefore, the area is 18.84 cm^2