zuha
  • zuha
A circle has an area of approximately 78.5 square units. If the center of the circle is at (2,4). Which of the following points is on the circle?
Geometry
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SOLVED
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schrodinger
  • schrodinger
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zuha
  • zuha
(-6, 4) (2, -1) (-4, -4) (2, -9)
Nnesha
  • Nnesha
do you know the standard form equation of the circle ?
zuha
  • zuha
Do you mean the distance?

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More answers

Nnesha
  • Nnesha
yes same equation for both
zuha
  • zuha
Yyeah, I can't understand how to calculate that, I do know the d formula tho ;v;
Nnesha
  • Nnesha
well the standard form equation of the circle is \[\huge\rm (x-h)^2 +(y-k)=r^2\] where (h,k) is the center and r = radius
Nnesha
  • Nnesha
use the formula area of a circle \[\huge\rm A= \pi r^2\] to find r (radius )
zuha
  • zuha
is (y-k) also supposed to be ^2? So is h=2 and k=4??
Nnesha
  • Nnesha
yes right forgot sorry about that \[\huge\rm (x-h)^2 +(y-k)^2=r^2\]
Nnesha
  • Nnesha
yes right h=2 k =4
zuha
  • zuha
And I should just try each of the options until one of them is 78.5...?
zuha
  • zuha
@Nnesha ?
Nnesha
  • Nnesha
thanks for tag i was afk alright first you need to find the radius
Nnesha
  • Nnesha
the given is 78.5 area so substitute a for 78.5 and then solve for r
zuha
  • zuha
a?
Nnesha
  • Nnesha
what do you mean ?
Nnesha
  • Nnesha
use the formula area of a circle \[\huge\rm A= \pi r^2\] to find radius
zuha
  • zuha
Oohhhh 78.5=pir^2 Umm, I assume I divide pi from both sides then?
Nnesha
  • Nnesha
yes right
zuha
  • zuha
25 o.o
zuha
  • zuha
So I do 3.14*25^2?
Nnesha
  • Nnesha
yes r^2 equal 25 yes right forgot sorry about that \[\huge\rm (x-2)^2 +(y-4)^2=25\] now you can substitute (x,y) for each order pair if you get equal sides then that order pair would be the answer
Nnesha
  • Nnesha
no we need r^2 which is 25 you can check your work 3.14*25^2 iif its equal 78.5 then 25 is correct
zuha
  • zuha
It isn't equal to 78.5 .-.
Nnesha
  • Nnesha
r^2 =25 not r= so dont' take square of 25
Nnesha
  • Nnesha
\[\huge\rm \frac{ 78.5 }{ 5 }=r^2 ~~~~----> 25=r^2\] to find r you should take square root but we need r^2 for the equation
zuha
  • zuha
Ooh Okay, then yeah it's right--so then I just try each of the answers in the slots for x and y until I get the right one?
Nnesha
  • Nnesha
yep!
zuha
  • zuha
Oh okay! I already know the correct answer which is (2,-1) and I tested it and it's right! Thanks so much!! :)
Nnesha
  • Nnesha
np :=)goood work!

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