Question

Find the diameter of a circle with a circumference of 314 meters.

Answer 1

The circumference formula is given by

`C=\pi\cdot d`

where C denotes the circumference, d the diameter and Pi the number 3.1416. In our case, we know that

`C=314\text{ m}`

so, we have the following equation,

`314=\pi\cdot d`

or equivalently,

`\pi\cdot d=314`

and we need to isolate the diameter d. Then, by dividing both sides by Pi, we get

`d=(314)/(\pi)`

or equivalently,

`d=(314)/(3.1416)`

which gives

`d=99.949\text{ meters}`

Thererefore, by rouding to the nearest hundreadth, the answer is: 99.95 meters.