A circular rug has an area of 32.15 ft^(2). What is the diameter of the rug, to the nearest tenth of a foot? Plz show work and explain. A. 8 feet B. 16.1 feet C. 3.2 feet D. 6.4…

Question

A circular rug has an area of 32.15
`ft^(2)`. What is the diameter of the rug, to the nearest tenth of a foot? Plz show work and explain.

A. 8 feet
B. 16.1 feet
C. 3.2 feet
D. 6.4 feet

Answer 1

Diameter is twice the radius. A=πr^2.

First, solve for r:

32.15=πr^2

*Divide both sides by π*

10.2337=r^2

*Take the square root of both sides*

3.199=r

Multiply the radius by 2:

3.199*2=6.398

D. 6.4 feet

Hope this helps!!