SOLUTION: I am really confused with these circles. Can you please help me with this? I know the answer is 16, but I don't know how to work the problem to get there. "Suppose you have t

Question 410872: I am really confused with these circles. Can you please help me with this? I know the answer is 16, but I don't know how to work the problem to get there.
"Suppose you have two cans of paint that can cover a total of 800 sq.ft. Find the radius of the largest circle you can paint. Round to the nearest tenth of a foot."
Please explain so that I will be able to do these on my own. Thank you!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Suppose you have two cans of paint that can cover a total of 800 sq.ft.
Find the radius of the largest circle you can paint. Round to the nearest tenth of a foot."
:
You know the largest circle you can paint will be 800 sq/ft
:
You know the Area of circle formula: = A
therefore
= 800; find r
Divide both sides by pi and you have
=
which is
= 254.648; (divided 800 by pi using a calc)
Find the square root of both sides
r =
Find this also on a calc
r = 15.96 rounded to 16 ft is the radius of the circle
:
:
YOu can prove this to yourself
Find the area of circle using calc: = 804, not 800 because we rounded up 16 ft
:
Did explain things to you?

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