Question

Jim has made a dartboard using two concentric circles, one blue and one yellow. The distance from the center to the edge of the blue circle is 8 inches, while from the center to the edge of the yellow circle it is 11 inches. Jim plans to play a game with his friend Randolph, in which the blue region is Jim's and the yellow region is Randolph's.

Is the game FAIR?

Answer 1

No; the blue region is larger.

Explanation:

The area of the blue region is 64π = 200.96 square inches, while the area of the yellow region is 121π - 64π = 178.98 square inches.