A circle has an area of 40 square meters. Which answer is closest to the measure of its diameter?
Answer: The correct answer is 7.12 m.
Step-by-step explanation:
The expression for the area of the circle is as follows;
\(A=\pi r^{2}\)
Here, A is the area of the circle and r is the radius of the circle.
Calculate the radius of the circle.
\(A=\pi r^{2}\)
Put A= 40 square meter and \(\pi=3.14\).
\(40=(3.14) r^{2}\)
\(r=3.56 m\)
The expression for the diameter is as follows;
d= 2r
Here, d is the diameter of the circle and r is the radius of the circle.
Put r= 3.56 m.
d= 2(3.56)
d= 7.12 m
Therefore, the closest answer to the measure of the diameter of the circle is 7.12 m.