Find the measure of the central angle with a radius of 18 inches and the area of a sector measuring 162pi square inches.

Question

I have no clue how to do this! If someone could show me how to solve this that would be great!

Answer 1

Area of the sector is 

A = θ r²/2    so we have A = 162pi,   r = 18 ,    and θ=Central angle

162pi= θ* 18²/2-----> θ = 162pi *2/18²----> θ =pi in radiant or (180º)

 

Best