Darts about radius

Question

Richard plays darts on a circular dartboard that is madeup of two concentric circles (two circles with the sanecenter but different sizes). Getting a bulls-eye means hitting anywhere in the inner circle, which has radius 2inches. The outer circle has radius 3 inches. Richardalways hits the dartboard, but does not always get abulls-eye. If Richard has an equal chance of hitting eachpoint on the dartboard, what is the probability thatRichard gets a bulls-eye in his next shot?

Answer 1

Probability is successes / total

Area_success = 4π

Area_total = 9π

Propability_bullseye = 4π/9π, or 4/9