The area of a sector of a circle is represented by a=5/18πr to the power of 2, where r is the radius of the circle (in meters). what is the radius when the area is 40π square meters?

r = 12

Step-by-step explanation:

given

A = πr² and A = 40π

Equate the 2 areas and solve for r, that is

πr² = 40π

Multiply both sides by 18 to eliminate the fraction

5πr² = 720π ( divide both sides by 5π )

r² = = 144

Take the square root of both sides

r = = 12

where are the choices?

a

step-by-step explanation: