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Masja [62]
3 years ago
13

The circumference of a circular track is 154m. Finid the diameter of the track​

Business
1 answer:
Deffense [45]3 years ago
8 0

Answer:

Diameter = 49 meters.

Explanation:

<u>Given the following data;</u>

Circumference of circle = 154m

To find the diameter;

<u>Method I.</u>

Circumference of circle = πD

We know that π = 22/7

154 = 22/7 × D

Cross-multiplying, we have;

154 × 7 = 22D

Diameter, D = 1078/22

<em>Diameter, D = 49 meters. </em>

<u>Method II.</u>

Circumference of circle = 2πr

Substituting into the equation, we have;

154 = 2πr

We know that π = 22/7

154 = 2 × 22/7 × r

Cross-multiplying, we have;

154 × 7 = 44r

1078 = 44r

Radius, r = 1078/44

Radius = 24.5m

But diameter = radius * 2

Diameter = 24.5 * 2

<em>Diameter = 49 meters.</em>

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