SOLUTION: Find the center and radius of the following circle:
x2 + y2 - 12x + 8y - 29 = 0
Algebra.Com
Question 1121380: Find the center and radius of the following circle:
x2 + y2 - 12x + 8y - 29 = 0
Found 3 solutions by josgarithmetic, MathLover1, Alan3354:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
CENTER (6,-4)
RADIUS 9
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
to find the center and radius of the following circle, write given equation in this form:
where and are and coordinates of the center, and is the radius
......rearrange and group
.... complete squares
recall the rule:
since you have and , => for part
and and , => for part
than you have:
now you see that:
and and the center is at (, )
and the radius is
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the center and radius of the following circle:
x2 + y2 - 12x + 8y - 29 = 0
-----
Complete the square for x and for y.
x^2 - 12x + y^2 + 8y - 29 = 0
x^2 - 12x + y^2 + 8y = 29
x^2 - 12x + 36 + y^2 + 8y + 16 = 29+36+16 = 81
(x-6)^2 + (y+4)^2 = 9^2
===============
(x-h)^2 + (y-k)^2 = r^2 is a circle - center at (h,k), radius r
RELATED QUESTIONS
Find the center and radius of the following circle and sketch the graph.
X2^ - 2x +... (answered by ewatrrr,josgarithmetic,Boreal,advanced_Learner)
find the center and the radius of the circle:
x2 + y2 - 12x-16y-21... (answered by joyofmath,Earlsdon)
find the center and the radius of the circle x2+y2-10x-6y+29=0. Draw the... (answered by Nate)
Find the center and the radius of the circle x2 – 6x + y2 – 4y + 4 = 0.
(answered by bucky)
find the center and the radius of the circle x2+y2 -... (answered by Fombitz)
find the center and radius of the circle with equation... (answered by Earlsdon)
. Find the center and radius of the circle whose equation is x2 + y2 – 4 = 0.
(answered by Alan3354)
x2+y2−14x+8y+29=0 is the equation of a circle with center(h,k) and radius r. What... (answered by Fombitz,KMST)
Find the CENTER and the LENGTH of a radius of the circle.
x2 + y2 + 16x + 4y + 59 =... (answered by robertb,stanbon)