Question

if the difference between the circumference and diameter of a circle is 74 cm then radius of the circle is?​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

If the difference between the circumference and diameter of a circle is 74 cm then the radius of the circle is?​

To find:

The radius of the circle

Solution:

Let "r" be the radius of the circle.

So,

The diameter of the circle, d = 2 × radius = 2r

Also,

The circumference of the circle, C = 2 π r

The difference between the circumference and diameter of a circle is 74 cm, so we can form the equation as,

Circumference - Diameter = 74

i.e., C - d = 74

$\implies 2\pi r\: -\:2r = 74$

$\implies 2r [\pi \: -\:1] = 74$

$\implies r [\pi \: -\:1] =37$

$\implies r [\frac{22}{7} \: -\:1] =37$

$\implies r [\frac{22- 7}{7} ] =37$

$\implies r [\frac{15}{7} ] =37$

$\implies r =37 \times \frac{7}{15}$

$\implies \bold{ r =17.26\:cm}$

Thus, the radius of the circle is → 17.26 cm.

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