Question 56 Answer and Explanation _ACT April 2014 Form 71H Math Section

Question 56 Answer and Explanation _ACT April 2014 Form 71H Math Section

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56. As shown below, 2 circular pulleys with centers 8 inches apart are connected with a tight belt. The belt wraps $\frac{2}{3}$ of the way around the larger pulley, which has a radius of 5 inches, and $\frac{1}{3}$ of the way around the smaller pulley, which has a radius of 1 inch. What is the exact length of the belt, in inches?

F. $\frac{22\pi}{3}+8$

G. $\frac{22\pi}{3}+8\sqrt{3}$

H. 17π + 8

J. $17\pi+8\sqrt{2}$

K. $17\pi+8\sqrt{3}$

Answer and Explanation

Your Answer is

Correct Answer is G

Explanation