Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the equation of the circle given center at (5,2) and radius 6√6?

1 Answer

Shwetank Mauria

Jul 16, 2016

Equation of circle is
#x^2+y^2-10x-4y-187=0#

Explanation:

Let #(x,y)# be a point on circle. As it's distance from center #(5,2)# is equal to radius which is #6sqrt6#, hence

#sqrt((x-5)^2+(y-2)^2)=6sqrt6# or

#(x-5)^2+(y-2)^2)=(6sqrt6)^2# or

#x^2-10x+25+y^2-4y+4=36×6# or

#x^2+y^2-10x-4y+25+4-216=0# or

#x^2+y^2-10x-4y-187=0#

Related questions

See all questions in General Form of the Equation

Impact of this question

1877 views around the world

You can reuse this answer
Creative Commons License