MHB Find Center and Radius of Circle

Click For Summary
To find the center and radius of the circle represented by the equation x^2 + y^2 - 10x + 2y + 17 = 0, completing the square is an effective method. The equation can be rearranged into the form (x^2 - 10x + ?) + (y^2 + 2y + ?) = ?. By selecting appropriate values to complete the squares, the center and radius can be easily determined. This approach confirms that the circle's properties can be extracted directly from the transformed equation. Completing the square is a reliable technique for solving such problems.
mathdad
Messages
1,280
Reaction score
0
Determine the center and the radius of circle.

x^2 + y^2 - 10x + 2y + 17 = 0

Can this be done using completing the square?
 
Mathematics news on Phys.org
RTCNTC said:
Determine the center and the radius of circle.

x^2 + y^2 - 10x + 2y + 17 = 0

Can this be done using completing the square?
Yes! Write the equation in the form $(x^2 - 10x +\ ?) + (y^2 + 2y +\ ?) =\ ?$ (choosing the queries so as to complete the squares), and you should be able to read off the answer.
 
Opalg said:
Yes! Write the equation in the form $(x^2 - 10x +\ ?) + (y^2 + 2y +\ ?) =\ ?$ (choosing the queries so as to complete the squares), and you should be able to read off the answer.

I got it.
 

Similar threads

B Circle tangent to two lines and another circle
Replies
2
Views
3K
MHB Calculate the radius of the circle
Replies
5
Views
2K
I Geometry problem of interest with a 3-4-5 triangle
2
Replies
59
Views
2K
MHB [ASK] A Line Intercepting A Circle
Replies
4
Views
1K
MHB What is the Center and Radius of a Circle?
Replies
9
Views
2K
B How to find a length of a "radius" not centered in a circle?
Replies
2
Views
2K
MHB Adam's Circles: Splitting & Connecting Segments
Replies
6
Views
1K
B Understanding why πr^2 works for different area calculations
Replies
7
Views
2K
MHB What caused the wrong answer for determining the center and radius of Circle 2?
Replies
4
Views
2K
MHB Finding the Center of a Circle
Replies
3
Views
1K