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. Round to the nearest meter.

Question

Mathematics

Yaretzi

13 November, 00:08

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. Round to the nearest meter.

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Davin Harris · Answer 1

21 m

Step-by-step explanation:

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.