Question

The radius of a circle is 3 m. Find its area to the nearest tenth.

Answer 1

28.3 m²

Explanation:

The area of a circle can be found using the following formula.

`a=\pi r^2`

We know the radius of the circle is 3 meters. We can substitute 3 m in for the variable, r.

`a= \pi (3m)^2`

Evaluate the exponent.

(3m)² = 3m * 3m= 9 m²

`a= \pi (9 m^2)`

Multiply pi and 9 meters squared.

9 m² * π = 28.2743339 m²

`a=28.2743339 m^2`

Round to the nearest tenth. The 7 in the hundredth place tells us to round the 2 in the tenth place to an 3

`a\approx 28.3 m^2`.

The area is approximately 28.3 square meters.

Answer 2

28.3 square meters.

Explanation:

So we know that the radius of the circle is 3 meters. With that, we can figure out the area of the circle.

The area of a circle is given by the formula:

`A=\pi r^2`

Plug in 3 for r:

`A=\pi (3)^2`

Square the number:

`A=9\pi`

Use a calculator. Approximate:

`A\approx28.2743\approx28.3`

Therefore, the area of the circle is approximately 28.3 square meters.