Question

You play darts with a friend. The board has several concentric circles (same center). The central part of the board is called the Bull’s Eye and it is a circle with a 1-inch radius.

Just outside of that is the “inner ring”: it is the region inside a circle with a 3-inch radius and outside of the Bull’s Eye.

How much harder is it to hit the Bull’s Eye than the Inner Ring?

Answer 1

Area of Bull's Eye:

A = π r²

= π (1)²

= π

Area of Inner Ring:

A = π r²

= π (3-1)²

= 4π

Ratio between Inner Ring and Bull's Eye:

`(InnerRing)/(Bull's Eye) = (4\pi )/(\pi) = 4`

Answer: It is 4 times harder to hit the Bull's Eye than it is to hit the Inner Ring