Question

A sidewalk around a circular park covers a distance of 65 meters. A new sidewalk is being constructed across the park through its center. About how long will the new sidewalk be? Use 3.14 for π π . Round to the nearest meter.

21 m
204 m
102 m
10 m

Answer 1

102

Explanation:

Answer 2

21 m

Explanation:

A sidewalk around a circular park covers a distance of 65 meters which means its the circumference of the circular park.

We know the formula for the circumference of a circle so we can write it as:

Circumference of circular park = 2πr

65 = 2πr

Solve this to find r:

65 = 2 x 3.14 x r

r = 65 / 6.28

r = 10.35

Now to find the find the distance of the new sidewalk, multiply r with 2 (to get the diameter):

2 x 10.35 = 20.7 ≈ 21 m

Therefore, the distance of new side walk, rounded to the nearest meter, is 21 m.