The point (5,2) is on the circle whose center is (3,2) ?

1 Answer
Sunayan S
Apr 6, 2018

See the answer below...

Explanation:

We have a point on the circle and the center of the circle. So, we can easily find the radius by the distance formula.

  • The radius of the circle is #sqrt((5-3)^2+(2-2)^2)=2"unit"#

  • The general equation of a circle having a center #color(red)((alpha,beta)# and radius #color(red)c# is #color(red)(ul(bar(|color(green)((x-alpha)^2+(y-beta)^2=c^2))|#.

  • Then, the equation of the circle is

#color(red)((x-3)^2+(y-2)^2=2^2=4#
#=>color(red)(ul(bar(|color(black)(x^2+y^2-6x-4y+9=0))|#

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