Question

Find the measure of the central angle of the sector with the given radius and area.Round your answer to the nearest tenth.Show your work for full credit.A-98.6 m 29.5 m

Answer 1

`125.3\degree`

Step-by-step explanation:

Here, we want to calculate the measure of the central angle

Mathematically, to get the area of a sector, we use the following formula:

`A\text{ = }(\theta)/(360)*\text{ }\pi r^2`

where:

theta is what we want to calculate

pi is 3.14

A is 98.6 m^2

r is the radius of the circle which is 9.5m

Substituting the values, we have it that:

`\begin{gathered} 98.6\text{ = }(\theta)/(360)*3.14*\text{ 9.5}^2 \\ \\ \theta\text{ = 125.3}\degree \end{gathered}`