Question

3. Find the radius of a circle with a circumference
of 106.81 centimeters.
​

Answer 1

r = 16.9 cm

Explanation:

We are given the circumference of a circle to be 106.81 cm and with the help of this, we are to find the radius of the circle.

We know that the formula for the circumference is given by:

`2\pi r`

so equating the given value to get:

`2 \pi r = 106.81`

`r = \frac { 106.81 } { 2* \pi }`

r = 16.9 cm

Answer 2

For this case we have that by definition, the circumference of a circle is given by:

`C = \pi * d`

Where:

d: It is the diameter of the circle.

`d=2r`

Clearing we have:

`C=2\pi*r\\r=(C)/(2\pi)\\r=(106.81)/(2\pi)\\r=17,0079`

Rounding the amount and
`\pi=3.14`

Then, the radius of the circle is 17 centimeters

ANswer:

`r = 17 \ cm`