Question

The circumference of a circle is 462 cm then its radius will be

Answer 1

First we have to know the formula, so that we can find the answer easily.

Formula :-

Circumference = π × diameter

Diameter = 2 × radius

Substituting the formula of diameter in circumference, we get

Circumference = 2 × π × radius

Solution :-

Circumference = 462 cm

$=> 462 cm = 2 \times \pi \times radius\\ \\ => radius=\frac{462 cm}{2 \times \pi} \\ \\Taking\: \: \pi\: \:as \:\: \frac{22}{7} . \\ \\ => radius=\frac{462\: cm\times7}{2\times22}\\ \\ => radius=\frac{3234\: cm}{44} \\ \\=> radius=73.5\:cm$

Answer :-

Radius = 73.5 cm

Note :-

• Why I have taken π as 22/7 not 3.14. I have taken π as 22/7, so that the fraction part can easily be divided.

• It is also not mentioned in the question what value we have to take for pi.

Answer 2

Answer:

HELLO

BRAINLY

USERS

Formula

$circumference = \pi \: d \\ diameter = 2r \\ \\ = > radius = \frac{462cm}{2 \times \pi} \\ \\ \: \: taking \: \pi \: as \: \frac{22}{7} \\ \\= > radius = \frac{462cm \times 7}{44} \\ \\ > radius = \frac{3234}{44} \\ \\ 3234 \div 44 = 73.5 \\ \\ = > radius = 73.5 \\ \\ so \: hence \: \\ answer \: = 73.5 \\ \\ \\ \\ \\ hope \: it \: helps$