Question

(1) 2.5 cm C. Find the radius of a circle whose circumference is :99m​

Answer 1

The radius of a circle whose circumference is 15.75 m.

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Let's understand a few concepts:

To calculate the radius of the given circle we will use the following formula of the circumfernce of a circle:

$\boxed{\bold{Circumference \:of\: a\: circle\: = 2\pi r}}$

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Let's solve the given problem:

The circumference of the circle = 99 m

Let "r" m be the radius of the circle.

Therefore, by using the formula above we can form an equation as,

$2\pi r = 99$

$\implies 2 \times \frac{22}{7} \times r = 99$

$\implies 2 \times \frac{2}{7} \times r = 9$

$\implies r = \frac{9\times 7}{2\times 2}$

$\implies r = \frac{63}{4}$

$\implies \bold{r = 15.75 m}$

Thus, the radius of the circle is 15.75 m.

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