SOLUTION: Find the standard form of the equation of the circle which passes through the point (4, -5) and center at (-2,3)

Algebra.Com
Question 104936: Find the standard form of the equation of the circle which passes through the point (4, -5) and center at (-2,3)
Found 2 solutions by Fombitz, edjones:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Find the standard form of the equation of the circle which passes through the point (4, -5) and center at (-2,3)
The standard form of a circle centered at (h,k) is

We can calculate R using the center and the point provided.
The distance between the two points equals the radius.
Distance = Radius
PLug in all the values
Simplify.
Final answer.
Circle with center (-2,3) and passing through (4,-5) has a radius of 10.

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
(x-a)^2+(y-b)^2=r^2 where x=4, y=-5, a=-2, b=3
(4+2)^2+(-5-3)^2=r^2
36+64=r^2
r^2=100
r=10
Ed

RELATED QUESTIONS

Write the equation in standard form of the circle whose center is (3,-5) and passes... (answered by josgarithmetic,ikleyn)
write the standard form of the equation of the circle that passes through the point at... (answered by Edwin McCravy)
Find an equation of the circle with center at the origin which passes through the point... (answered by MathLover1,MathTherapy)
Find the equation of the circle that passes through the point P(5, 2) and whose center is (answered by ikleyn)
Find an equation in standard form for the ellipse with center at (5, 8), horizontal axis... (answered by greenestamps,Edwin McCravy)
Find the equation of a circle which passes through the origin and whose center is at... (answered by ryanman)
Find the equation of the circle (standard form) with center at (3,-4) and passing through (answered by Alan3354)
Find the equation of the circle with center at (-4,1) and passes through the point... (answered by josgarithmetic,greenestamps)
Find the equation of the circle with center at (-4,1) and passes through the point... (answered by josgarithmetic)