Question

A dartboard consists of a circle inscribed in a square. The area of the circle is 16π square centimeters. The area of the square is 64 square centimeters. Izzy randomly throws a dart at the square, and it lands inside the square. To the nearest percent, what is the probability that the dart lands inside the square but not on the circular dartboard? Use 3.14 for π.

Answer 1

The answer is A. 22%

Answer 2

The solution would be like this for this specific problem:

 

Area of Circle = 16(π)

= 16 * 3.14

= 50.24

Area of Square = 64

= 64 – 50.24

= 13.76

 

Area of Square but not on the circular board = 13.76 / 64

= 0.215

Percentage value = 0.215 * 100%

= 21.5%

So, to the nearest percent, the probability that the dart lands inside the square but not on the circular dartboard is 21.5%.