Question

Find the circumference of a circle whose area is 452.16 square meters. (Use 3.1416 as the value of .)

A. 12 meters
B. 37.6992 meters
C. 24 meters
D. 75.3984 meters



9. What is the volume of a cube shaped box with edges 6 cm. in length?
A. 216 cu. cm.
B. 1,296 cu. cm.
C. 36 cu. cm.
D. 18 cu. cm.

Answer 1

D. 75.3984 meters

Step-by-step explanation:

PENN

Answer 2

1) The area of a circle is given by

`A=\pi r^2`

where r is the radius of the circle. In this problem, we are told that the area is

`A=452.16 m^2`

so we can rearrange the previous equation to calculate the radius:

`r=\sqrt{(A)/(\pi)}=\sqrt{(452.16 m^2)/(3.1416)}=12.0 m`

And now we can find the circumference, by using the formula:

`c=2 \pi r=2 \pi (12.0 m)=75.3984 m`

Therefore, the correct answer is D. 75.3984 meters.

2) The volume of a cube is given by:

`V=L^3`

where L is the length of the edge. In this problem, L=6 cm, therefore the volume of the cube is

`V=L^3=(6 cm)^3=216 cm^3`

and so, the correct answer is A. 216 cu. cm.