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

Sagot :

Lanuelidn

Answer:

Diameter = 49 meters.

Explanation:

Given the following data;

Circumference of circle = 154m

To find the diameter;

Method I.

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

Diameter, D = 49 meters.

Method II.

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

Diameter = 49 meters.

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