Question

Darnell and Jake are playing a game they made up which includes throwing darts at this target.

The point values for each region of the target are shown. The radius of the 50-point region is 3 inches. The width of each of the other regions is 4 inches.

5 concentric circles where each circle contains values from 10, 20, 30, 40 and 50.

Part B

What is the area of the target that earns at least 30 points on a throw?

Part C

What is the area of the whole target?

Answer 1

Part B 121π in.²

Part C 361π in.²

Explanation:

Part B

The radius of the circle around the 30-point region is 11 inches.

Area of 30-point circle = πr² = π × (11 in.)² = 121π in.²

Part C

The radius of the circle around the 10-point region is 19 inches.

Area of 10-point circle = πr² = π × (19 in.)² = 361π in.²