Question

A circle has an area of 40 square meters. Which answer is closest to the measure of its diameter?

A.1.8 meters
B.4 meters
C.3.6 meters
D.7.1

Answer 1

D. 7.1
A circle has an area of 40 square meters. Which answer is closest to the measure of its diameter?

Answer 2

Option D.
`7.1\ m`

Explanation:

we know that

The area of a circle is equal to

`A=\pi r^(2)`

In this problem we have

`A=40\ m^(2)`

substitute and solve for r

`40=\pi r^(2)`

`r^(2)=40/( \pi)`

`r=3.57\ m`

Multiply the radius by
`2` to obtain the diameter

so

`3.57*2=7.14\ m`