anonymous
  • anonymous
The area of a circle is found using the formula A=nr^2 , where r is the radius. if the area of a circle is 36n square feet, what is the radius, in feet? N= Pi
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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jdoe0001
  • jdoe0001
$$ Area = \pi r^2\\ 36\pi = \pi r^2\\ \text{solve for "r"}\\ \cfrac{36\pi}{\pi} = r^2 $$
Jim766
  • Jim766
A = pi *r^2 just fill in what they gave you 36pi = pi r^2 just need to solve for r, -- --- pi pi 36 = r^2
Jim766
  • Jim766
what is the sq rt of 36?

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jdoe0001
  • jdoe0001
so, to isolate "r", get \(\large \sqrt{}\) on both sides, what do you get?
anonymous
  • anonymous
sq rt of 36 is 6?
jdoe0001
  • jdoe0001
so, r = 6
Jim766
  • Jim766
right that is the radis
anonymous
  • anonymous
6n or just 6?
Jim766
  • Jim766
errrr 6 ft
anonymous
  • anonymous
in the answer choice there is 6n (pi) and just 6 ? which is it..
jdoe0001
  • jdoe0001
6 units, whatever units, meters, feet, who knows, \(\pi\) for this case, is just a CONSTANT used, \(\pi = 3.1416\)
anonymous
  • anonymous
soooo which one do i use
Jim766
  • Jim766
it is just 6 ft
anonymous
  • anonymous
okat thanks both of yall so much :)) can you help me with my next question?
jdoe0001
  • jdoe0001
from $$ Area = \pi r^2\\ 36\pi = \pi r^2\\ \text{solve for "r"}\\ \cfrac{36\pi}{\pi} = r^2 $$
Jim766
  • Jim766
36(3.14) = 3.14(6^2) check it 113.04 = 113.04
jdoe0001
  • jdoe0001
notice, the \(\pi\) above and below, will cancel out, so, as Jim766 said, you're only left with "36" all by its lonesome
anonymous
  • anonymous
yes

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