Answer:
[tex]125.3\degree[/tex]
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:
[tex]A\text{ = }\frac{\theta}{360}\times\text{ }\pi r^2[/tex]
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:
[tex]\begin{gathered} 98.6\text{ = }\frac{\theta}{360}\times3.14\times\text{ 9.5}^2 \\ \\ \theta\text{ = 125.3}\degree \end{gathered}[/tex]
