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Circle S has an equation of (x – 16)2 + (y + 9)2 = 4. What is the center and radius of circle S?
 one year ago
 one year ago
Circle S has an equation of (x – 16)2 + (y + 9)2 = 4. What is the center and radius of circle S?
 one year ago
 one year ago

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sugargurlBest ResponseYou've already chosen the best response.1
dw:1340399424345:dw
 one year ago

ash2326Best ResponseYou've already chosen the best response.3
A circle with center ( a, b ) and radius r has equation given as \[(xa)^2+(yb)^2=r^2\] We are given equation of circle as \[(x – 16)^2 + (y + 9)^2 = 4\] @julie001 Can you compare the two equations to find the center and radius?
 one year ago

julie001Best ResponseYou've already chosen the best response.1
Center: (16, 9); Radius: 4 Center: (16, 9); Radius: 2 Center: (16, 9); Radius: 2 Center: (16, 9); Radius: 4
 one year ago

ash2326Best ResponseYou've already chosen the best response.3
@sugargurl Please explain how did you get the answer?
 one year ago

ash2326Best ResponseYou've already chosen the best response.3
@julie001 where you have doubt?
 one year ago

julie001Best ResponseYou've already chosen the best response.1
comparintg the equations
 one year ago

sugargurlBest ResponseYou've already chosen the best response.1
ANSWER IS THE 2ND CHOICE..:)
 one year ago

MertsjBest ResponseYou've already chosen the best response.1
No sugargurl. Answer is NOT the second choice.
 one year ago

ash2326Best ResponseYou've already chosen the best response.3
Work step by step \[(xa)^2=(x16)^2\] so a=16 Now you could find b and r, using the same procedure
 one year ago

sugargurlBest ResponseYou've already chosen the best response.1
YUO THE ANSWER IS THE 3RD CHOICE THANKS FOR CORRECTING ME @ MERTSJ
 one year ago

julie001Best ResponseYou've already chosen the best response.1
@ash2326 im still lost
 one year ago

ash2326Best ResponseYou've already chosen the best response.3
Did you understand how I found a?
 one year ago

ash2326Best ResponseYou've already chosen the best response.3
Yeah, standard equation of a circle is \[(xa)^2+(yb)^2=r^2\] and the equation given in the question is \[(x16)^2+(y+9)^2=4\] We need to find the center (a, b) and radius r. So we compare the two equations \[(xa)^2=(x16)^2\] To make both sides equal a should be 16, so a=16 Now can you find b, by comparing \[(yb)^2=(y+9)^2\]
 one year ago

julie001Best ResponseYou've already chosen the best response.1
so its Center: (16, 9); Radius: 2
 one year ago

ash2326Best ResponseYou've already chosen the best response.3
Could you show me your work?
 one year ago

MertsjBest ResponseYou've already chosen the best response.1
There is no work to show. We know that if the equation is written in the form: \[(xh)^2+(yk)^2=r^2\] then the center is (h,k) and the radius is r
 one year ago

julie001Best ResponseYou've already chosen the best response.1
i just plugged in the numbers with the equation
 one year ago

MertsjBest ResponseYou've already chosen the best response.1
So write the given equation: \[(x16)^2+(y(9))^2=2^2\] and it is immediately obvious that the center is (16,9) and the radius is 2
 one year ago

julie001Best ResponseYou've already chosen the best response.1
@Mertsj is it Center: (16, 9); Radius: 2
 one year ago

MertsjBest ResponseYou've already chosen the best response.1
and it is immediately obvious that the center is (16,9) and the radius is 2
 one year ago
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