Question

Find the area and the circumference of a circle with radius 2 m.Use the value 3.14 for T, and do not round your answers. Be sure to include the correct units in your answers.mmaArea:Circumference:2 mXSExplanationCheck

Answer 1

The area of a circle is given by the following formula:

`A=\pi r^2`

Where r is the radius. For this case the radius is 2m, then we just need to replace values in the formula to find the area:

`\begin{gathered} A=3.14\cdot(2m)^2 \\ \\ A=3.14\cdot4m^2 \\ \\ A=12.56m^2 \end{gathered}`

The area of the circle is 12.56 square meters.

For the circumference we can use the following formula:

`C=2\cdot\pi\cdot r`

Now, replacing the value of the raidus:

`\begin{gathered} C=2\cdot3.14\cdot2m \\ \\ C=6.28\cdot2m \\ \\ C=12.56m \end{gathered}`

The circumference for the circle is 12.56 meters.