The area a sector of a circle is given by a=pir^2s/360, where r is the radius of the circle and s is the angle measure

To solve the equation of the of the sector of circle for s we shall have:

a=π r^2s/360

multiplying both sides by 360 we get:

360 * a = (πr^2s/360) * 360

360a=πr^2s

dividing both sides by πr^2

(360a) / πr^2 = (πr^2s) / πr^2

this gives us:

s = (360a) / (πr^2)

Answer: s = (360a) / (πr^2)