Question

A simple dart target has two concentric circles. The larger circle has a radius of 4. The smaller circle has a radius of 2.

The scoring should correspond to the relative difficulty of hitting the inner circle and the outer ring. How many more points should a player receive for landing a dart in the inner circle, as opposed to the outer ring?

Answer 1

The player should receive 3 times as many points.

Explanation:

Ratio of the points should be the same as ratio of the areas

(Ratio of radii)² = Ratio of areas

= (4/2)² = 2² = 4

The ratio of the areas:

inner circle to the outer ring is:

1 : 4-1

1 : 3