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emmainna [20.7K]
3 years ago
6

A sidewalk around a circular park covers a distance of 65 meters. A new sidewalk is being constructed across the park through it

s center. About how long will the new sidewalk be? Use 3.14 for π
π
. Round to the nearest meter.


10 m
21 m
102 m
204 m

Mathematics
2 answers:
lidiya [134]3 years ago
8 0

All we have to do is divide the distance of the old sidewalk by 3.14:

65 / 3.14 ≈ 20.7006

That means that, rounded to the nearest meter, the new sidewalk is:

21 meters long!

goblinko [34]3 years ago
4 0

<u>Answer:</u>

21 m

<u>Step-by-step explanation:</u>

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:

<em>Circumference of circular park = 2πr</em>

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):

<em>2 x 10.35 = 20.7 ≈ </em><em>21 m</em>

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


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