Question

A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches.

A dartboard consists of a circle inscribed in a square.

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.

22%
25%
75%
79%

Answer 1

Square side s = sqrt(64) = 8, so the inscribed circle has radius r = 4.
Circle area = πr^2 = 3.14·16 = 50.24.
Area outside circle but inside square = 64 − 50.24 = 13.76.
Probability = 13.76/64 = 0.215 = 21.5% ≈ 22%.

Answer: 22%