Question

Larry's Landscaping is building a circular flower bed that can have a maximum area of 100 square feet.

To the nearest foot, the longest radius that Larry's Landscaping can use to make the circle is (blank) feet.

Answer 1

Lets see if we can write an inequality equation to represent the statement:

The area of the circle has to be less than or equal to 100

Answer 2

Circle area <= 100

Answer 3

area of circle (3.14r^2) < 100.

Answer 4

Exactly. Use the less than or equal to symbol. Now , can you solve that for r?

Answer 5

What do I subtract in order to figure out this equation??

Answer 6

you don't subtract.
first, we want to get rid of that 3.14.
to do that, divide both sides by 3.14

Answer 7

(1/3.14) 3.14r^2 <=100 (1/3.14)
r^2 <= 100
Like this??

Answer 8

I meant 100/3.14, which would be 31.84

Answer 9

yes...
so you have r^2 <=31.86

now we want to turn that r^2 into an r. to do that, take the square root of both sides.

Answer 10

I ended up with 5.64. So, to the nearest foot that would be about 6 feet. Would this be correct?

Answer 11

that's it! that's what i got.

Answer 12

Alright, thank you very much!!

Answer 13

no problem. good luck