Question

Priya drew a circle whose circumference is 25 cm. Clare drew a circle whose diameter is 3 times the diameter or Priya’s circle. What is the circumference of Clare’s circle?

Answer 1

Answer: 75 cm

Explanation:

We know that the circumference of a circle is given by :-

`\text{Circumference}= \pi d` , where d= diameter.

Given : Priya drew a circle whose circumference is 25 cm.

Substitute Circumference= 25 in the formula , we get

`25= \pi d\\\\\Rightarrow\ d=(25)/(\pi)`

If Clare draw a circle whose diameter is 3 times the diameter or Priya’s circle.

Then, the diameter of Clare's circle =
`d'=3d=3(25)/(\pi)=(75)/(\pi)`

Now , the circumference of Clare’s circle :

`\text{Circumference}= \pi d'\\\\=\pi *(75)/(\pi)=75\ cm`

Hence, the circumference of Clare’s circle = 75 cm