Question

A measuring wheel is used to calculate the length of a path. The diameter of the wheel is 8 inches. The wheel makes 87 complete revolutions along the length of the path. To the nearest foot, how long is the path?

Answer 1

182 ft

Explanation:

Big ideas Math Problem!

Answer 2

we know that

the length of a circumference=2*pi*r
for r=8/2-------> r=4 in
the length of a circumference=2*pi*4-------> 25.13 in

if 1 revolution--------------> 25.13 in
87 revolution------------> X
X=87*25.13--------> x=2186.55 in

1 ft-----------> 12 in
X ft-----------> 2156.86 in
X=2186.55/12--------> X=182.21 ft

the answer is
182 ft