Question

A map of a public park shows a circular pond. there is a bridge along a diameter of the pond that is 0.85 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? round your answer to the nearest hundredth. use 3.14 for π.

Answer 1

Your friend walks about 0.48 miles farther than you.

Explanation:

Find the circumference of the park.

C = πd Use the circumference formula.

C ≈ 3.14(0.85) Substitute for the diameter and π.

C ≈ 2.669 Multiply.

The circumference of the park is about 2.669 centimeters.

Find how far your friend walks when he or she walks halfway around the pond to meet you on the other side of the bridge. Divide the circumference by two.

0.785 ÷ 2 = 1.33

Your friend walks 1.33 miles.

Find how much farther your friend walks. Subtract the miles you walk from the miles your friend walks. Round your answer to the nearest hundredth.

1.33 − 0.85 ≈ 0.48

Answer 2

To answer this question you will compare the distance you walked (0.85 miles) to the distance your friend walked ( half the circumference of the circle ; C = pi x d/2

Your friend walked 3.14 x 0.85/2 = 1.33 miles approximately

To find the difference in the distances, subtract 1.33 and 0.85.

1.33 - 0.85 = 0.48 miles

Your friend walked 0.48 miles further.