Question

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

Answer 1

To solve the equation of the  of the sector of circle for s we shall have:
a=πr^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)