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?

Respuesta :

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:

[tex]\frac{InnerRing}{Bull's Eye} = \frac{4\pi }{\pi} = 4[/tex]

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