SOLUTION: write the equation of a circle with center (2,4) and containing the point (-2,1)
Algebra.Com
Question 609828: write the equation of a circle with center (2,4) and containing the point (-2,1)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
write the equation of a circle with center (2,4) and containing the point (-2,1)
**
Standard form of equation of a circle: (x-h)^2+(y-k)^2=r^2, (h,k)=(x,y) coordinates of center, r=radius
For given circle:
(x-2)^2+(y-4)^2=r^2
plug in (x,y) coordinates of given point (-2,1) on the circle to find r^2
(-2-2)^2+(1-4)^2=r^2
(-4)^2+3^2=16+9=25=r^2
Equation of given circle:
(x-2)^2+(y-4)^2=25
RELATED QUESTIONS
"Write the equation of the circle with center (4,-2) and containing the point... (answered by josgarithmetic,lwsshak3)
Write the equation of the circle with center (-6, -4) and containing the point (-2, -1).... (answered by MathLover1)
Write the equation of the circle with center (-4, 11) and containing the point (5, -1).... (answered by josgarithmetic,MathTherapy,ikleyn)
Write an equation of a circle with a diameter of 16" and a center at the point (-2,... (answered by stanbon)
write the equation of the circle
center (4,-2)
containing the point (-4,13)
can (answered by josgarithmetic,MathTherapy)
Write the equation of the circle with center (-1, 9) and containing the point (2, 5). Use (answered by math_helper)
1) write the equation of the circle with center at(2,1)and which passes thru the point... (answered by venugopalramana)
Write the standard equation for the circle with center at (2, -1) and radius... (answered by stanbon)
How would I write the equation of a circle with the center point (-1, 0) and point... (answered by josgarithmetic)