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

Step-by-step 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

$25= \pi d\\\\\Rightarrow\ d=\dfrac{25}{\pi}$

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

Then, the diameter of  Clare's circle = $d'=3d=3\dfrac{25}{\pi}=\dfrac{75}{\pi}$

Now , the circumference of Clare’s circle :

$\text{Circumference}= \pi d'\\\\=\pi \times\dfrac{75}{\pi}=75\ cm$

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