Question

Given two circles whose radii are 54'' and 60'' , the ratio of their circumference is81 to 10018 to 10081 to 209 to 10

Answer 1

GIVEN:

We are given two circles whose radii are 54'' and 60.''

Required;

Find the ratio of their circumference.

Step-by-step solution;

We begin by calculating the circumference of both circles.

$\begin{gathered} Circumference\text{ }of\text{ }a\text{ }circle: \\ \\ C=2\pi r \end{gathered}$

For the first circle, we have the circumference as follows;

$\begin{gathered} C_1=2\times\pi\times54 \\ \\ C_1=108\pi \end{gathered}$

For the second circle, we have the circumference as follows;

$\begin{gathered} C_2=2\times\pi\times60 \\ \\ C_2=120\pi \end{gathered}$

Therefore, the ratio of their circumference is;

$\begin{gathered} Ratio=C_1:C_2 \\ \\ Ratio=108\pi:120\pi \\ \\ Ratio=\frac{108\pi}{120\pi} \\ \\ Ratio=\frac{9}{10} \\ \\ Therefore; \\ \\ Ratio=9:10 \end{gathered}$

ANSWER:

Therefore, the ratio of their circumference is 9 to 10