Question

A circle with a radius of 14 ft is shown.Answer the parts below. Make sure you use the correct units in your answers.If necessary, refer to the list of geometry formulas.(a) Find the exact circumference of the circle. Write your answer in terms of pi.Exact circumference: (b) Using the ALEKS calculator, approximate the circumference of the circle.To do the approximation, use the pi button on the calculator, and round your answer to the nearest hundredth.Approximate circumference: ]

Answer 1

• (a)Exact circumference: 28π ft.

,

• (b)Approximate circumference: 87.97ft

Explanation:

The circumference of a circle is calculated using the formula:

`C=2\pi r\text{ where r=radius}`

Part A

Given that the radius of the circle = 14 ft.

Substitute r=14 into the formula above.

`C=2*\pi*14=28\pi\text{ ft}`

The exact circumference of the circle is 28π ft.

Part B

To find the approximate circumference, use the π button on the calculator.

`C=28\pi=87.965\text{ ft}`

Next, round the approximate circumference to the nearest hundredth.

`C\approx87.97\; ft`

The approximate circumference is 87.97ft to the nearest hundredth.