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max2010maxim [7]
3 years ago
6

A circular path 2feet wide has an inner diameter of 150 feet . How much farther is it around the outer edge of the path than aro

und the inner edge?
Mathematics
2 answers:
sesenic [268]3 years ago
8 0
The circumference of any circle is
diameter x pi.

Distance around the outside of the walk is (150+2+2) pi = 154 pi feet.

Distance around the inside of the walk is 150 pi feet.

Difference = 4 pi feet.

Same as if you strung a string around the Earth that was 2 feet off the surface everywhere.

The string would be 4pi feet longer than the Earth's circumference at the surface ... about 12.5 feet.
DIA [1.3K]3 years ago
3 0

Answer: 12.56 feet


Step-by-step explanation:

Given: The width of the circular path= 2 feet

The inner diameter of circular path= 150 feet

Therefore, the inner radius of circular path=\frac{150}{2}=75\ ft

Now, the outer radius= 75+2=77 feet

We know that the circumference= 2\pi r

Inner circumference= 2\pi 75=150\pi

Outer circumference= 2\pi 77=154\pi

The difference= 154\pi-150\pi=4\pi=4\times3.14=12.56\ feet

Hence, the outer edge of the path is 12.56 feet farther than the inner edge

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