Question

A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.25 mi long. You walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk?

Answer 1

The circumference of a circle is pi times diameter, so half-way around the pond is (1/2)pi times diameter.

$\frac{\pi}{2} = 1.57$

The difference between walking around the pond and walking across the bridge is: 1.57d - d = 0.57d

Plug in diameter of 0.25

0.25*0.57 = 0.14 miles