Question

. You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board. What is the probability that your dart lands in one of the two yellow sectors in the smaller circle? ​

Answer 1

0.0628

Explanation:

area of target (outer square) = [2(2 in. + 3 in.)]² = 100 in.²

area of inner circle = πr² = π × (2 in.)² = 4π in.²

area of yellow sectors of inner circle = (1/2) × 4π in.² = 2π in.²

p(yellow sectors of smaller circle) = (2π in.²)/(100 in.²) = 0.0628