Calculate the diameter and radius of a circle whose circumference is 26.4 m.

Given:

Circumference of the circle$=26.4\ m$.

To do:

We have to find the diameter and the radius of the circle.

Solution:

Let the radius of the given circle be $r$.

We know that,

Circumference of a circle of radius $r=2 \pi r$.

Therefore,

$2 \pi r=26.4\ m$

$2\times\frac{22}{7}\times r=26.4\ m$

$r=\frac{26.4\times7}{44}$

$r=\frac{1.4\times7}{2}$

$r=0.7\times7$

$r=4.9$

Radius of the circle $=4.9\ m$.

Diameter of the circle$=4.9\times2\ m=9.8\ m$.

Radius of the circle is 4.9 m and the diameter of the circle is 9.8 m.

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Updated on: 10-Oct-2022

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