1) The area of a circle is given by
[tex] A=\pi r^2 [/tex]
where r is the radius of the circle. In this problem, we are told that the area is
[tex] A=452.16 m^2 [/tex]
so we can rearrange the previous equation to calculate the radius:
[tex] r=\sqrt{\frac{A}{\pi}}=\sqrt{\frac{452.16 m^2}{3.1416}}=12.0 m [/tex]
And now we can find the circumference, by using the formula:
[tex] c=2 \pi r=2 \pi (12.0 m)=75.3984 m [/tex]
Therefore, the correct answer is D. 75.3984 meters.
2) The volume of a cube is given by:
[tex] V=L^3 [/tex]
where L is the length of the edge. In this problem, L=6 cm, therefore the volume of the cube is
[tex] V=L^3=(6 cm)^3=216 cm^3 [/tex]
and so, the correct answer is A. 216 cu. cm.
