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?

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?

THANKS!

Answer 1

with a circle of diameter d, half the circumference is πd/2.

So, what's the difference between πd/2 and d? Now plug in your numbers.

Answer 2

C= 3.14 times 0.25 because it says half and diameter puts a line through everything.

3.14 times 0.25 equals 0.785

Answer 3

To find out how much farther your friend walks, we need to calculate the circumference of the pond. We know that the bridge is along the diameter of the pond, so the diameter is equal to the length of the bridge.

Given:
Length of the bridge (diameter) = 0.25 miles

To calculate the circumference of the pond, we use the formula: C = πd, where C is the circumference and d is the diameter.

C = π(0.25)
C = 0.25π

Now, we need to find out how much farther your friend walks. Your friend walks halfway around the pond, which is equal to half of the circumference of the pond.

Distance walked by your friend = (1/2) * 0.25π

Now we can calculate the distance.

Distance walked by your friend = 0.125π

So, your friend walks an additional distance of 0.125π miles.

Answer 4

To find out how much farther your friend walks, we need to calculate the circumference of the pond first. The bridge represents the diameter of the circular pond, which is equal to 0.25 miles.

The formula to find the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Since we have the diameter, which is 0.25 miles, we can plug in this value into the formula:

C = π(0.25) = 0.25π

Therefore, the circumference of the pond is 0.25π miles.

Now, to find out how much farther your friend walks, you need to subtract the distance you walk (0.25 miles) from the circumference of the pond (0.25π miles):

Friend's extra distance = 0.25π - 0.25

Simplifying further:

Friend's extra distance = 0.25(π - 1)

So, the additional distance your friend walks is 0.25 times the difference between π and 1.