Question

A circle has a radius of 5 feet. what is the circumference of the bigger circle if the scale factor of the smaller circle to the bigger circle is 2:5?

Answer 1

484/7 is the answer my dear frnd

Answer 2

Answer:

The circumference of the circle is 78.53 feet.

Step-by-step explanation:

Given : A circle has a radius of 5 feet.

To find : What is the circumference of the bigger circle if the scale factor of the smaller circle to the bigger circle is 2:5?

Solution :

Solving the ratio of both the circles,

$\cfrac{small~radius}{large~radius}\qquad 2:5\\\qquad \cfrac{2}{5}\Rightarrow \qquad \cfrac{5}{x}=\cfrac{2}{5}\\\implies \cfrac{5\cdot 5}{2}=x\\\implies x=\cfrac{25}{2}$

$\text{Circumference of a circle}$

$C=2\pi r$

Substitute the value of r,

$C=2\pi \frac{25}{2}$

$C=25\pi$

$C=78.53ft.$

Therefore, The circumference of the circle is 78.53 feet.