Question

If a circle has a radius of 6.2feet what is the area of the circle in square feet rounded to the nearest tenth foot?

Answer 1

Exact: `38.44pi` sq. ft.
Approximate (using `3.14` as `pi`): `120.7016` sq. ft.

Explanation:

Recall that the area of a circle is given by

`A=pir^2`

We know the radius (`r`), so we can plug into our area formula to get:

`A=(6.2)^2pi`

`color(lime)(=>38.44pi ft^2)`

Our exact answer is in lime above, but we can use `3.14` for `pi`. We get:

`color(blue)(=>38.44*3.14)`

`color(blue)(=>120.7016 ft^2)`

Either one of our answers, in lime green or blue, are acceptable, the lime answer is the exact answer, however.

Hope this helps!