Question

The area A of a sector of a circle is given by A=πr²s/360, where r is the radius of the circle and s is the angle measure(in degrees) of the sector. Solve the equation for s to find the angle measure given the radius and area of the circle.

Answer 1

$A= \frac{ \pi r^2s}{360} \\ \\ \pi r^2s=360A \\ \\ s= \frac{360A}{ \pi r^2}$

Answer 2

Answer:

Step-by-step explanation:

It is given that The area A of a sector of a circle is given by:

$A=\frac{{\pi}r^2s}{360}$

where where r is the radius of the circle and s is the angle measure(in degrees) of the sector.

Then, the equation for s can be obtained by rewriting the above given equation, thus

$A=\frac{{\pi}r^2s}{360}$

${\pi}r^2s=360A$

$s=\frac{360}{{\pi}r^2}$

which is the required equation for s to find the angle measure given the radius and area of the circle.