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julie001
Group Title
Circle S has an equation of (x – 16)2 + (y + 9)2 = 4. What is the center and radius of circle S?
 2 years ago
 2 years ago
julie001 Group Title
Circle S has an equation of (x – 16)2 + (y + 9)2 = 4. What is the center and radius of circle S?
 2 years ago
 2 years ago

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sugargurl Group TitleBest ResponseYou've already chosen the best response.1
dw:1340399424345:dw
 2 years ago

ash2326 Group TitleBest 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?
 2 years ago

julie001 Group TitleBest 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
 2 years ago

julie001 Group TitleBest ResponseYou've already chosen the best response.1
im not sure
 2 years ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.3
@sugargurl Please explain how did you get the answer?
 2 years ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.3
@julie001 where you have doubt?
 2 years ago

julie001 Group TitleBest ResponseYou've already chosen the best response.1
comparintg the equations
 2 years ago

sugargurl Group TitleBest ResponseYou've already chosen the best response.1
ANSWER IS THE 2ND CHOICE..:)
 2 years ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.1
No sugargurl. Answer is NOT the second choice.
 2 years ago

ash2326 Group TitleBest 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
 2 years ago

sugargurl Group TitleBest ResponseYou've already chosen the best response.1
YUO THE ANSWER IS THE 3RD CHOICE THANKS FOR CORRECTING ME @ MERTSJ
 2 years ago

julie001 Group TitleBest ResponseYou've already chosen the best response.1
@ash2326 im still lost
 2 years ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.3
Did you understand how I found a?
 2 years ago

julie001 Group TitleBest ResponseYou've already chosen the best response.1
from the question ?
 2 years ago

ash2326 Group TitleBest 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 \[(yb)^2=(y+9)^2\]
 2 years ago

julie001 Group TitleBest ResponseYou've already chosen the best response.1
so its Center: (16, 9); Radius: 2
 2 years ago

ash2326 Group TitleBest ResponseYou've already chosen the best response.3
Could you show me your work?
 2 years ago

Mertsj Group TitleBest 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
 2 years ago

julie001 Group TitleBest ResponseYou've already chosen the best response.1
i just plugged in the numbers with the equation
 2 years ago

Mertsj Group TitleBest 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
 2 years ago

julie001 Group TitleBest ResponseYou've already chosen the best response.1
@Mertsj is it Center: (16, 9); Radius: 2
 2 years ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.1
and it is immediately obvious that the center is (16,9) and the radius is 2
 2 years ago
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