Question

A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should move his token forward on the board, three of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 45.1 inches squared. What is the radius of the spinner

Answer 1

9.3 inches

Explanation:

The computation of the radius of the spinner be given below:

Let us assume the same be x

So

We know that

Total area of the sector = one-sixth of the total area of the spinner

Given that

45.1 = 1 ÷ 6 × π × r^2

r^2 = 45.1 × 6 ÷ π

r^2 = 86.1

r = 9.279

= 9.3 inches