How do you write an equation of the circle with radius 5 centered at the point (-7,5)?

Question

How do you write the general form given a circle that passes through the given points. P(-2, 0),...
What is the equation of the circle with a center at #(7 ,1 )# and a radius of #2 #?
What is the equation of the circle with a center at #(3 ,1 )# and a radius of #2 #?
What is the equation of the circle with a center at #(3 ,1 )# and a radius of #1 #?
What is the equation of the circle with a center at #(3 ,5 )# and a radius of #1 #?
What is the equation of the circle with a center at #(3 ,5 )# and a radius of #6 #?
What is the equation of the circle with a center at #(2 ,5 )# and a radius of #6 #?
What is the equation of the circle with a center at #(2 ,2 )# and a radius of #4 #?
What is the equation of the circle with a center at #(2 ,2 )# and a radius of #3 #?
What is the equation of the circle with a center at #(2 ,1 )# and a radius of #3 #?

11566 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-07T17:28:31

Substitute the given values into the Cartesian form of the equation of a circle:

#(x-h)^2+(y-k)^2=r^2" [1]"#

where #(h,k)# is the center and #r# is the radius

Substitute the given center point, #(-7,5)# into equation [1]:

#(x-(-7))^2+(y-5)^2=r^2" [1.1]"#

Substitute the given radius, #5#, into equation [1.1]:

#(x-(-7))^2+(y-5)^2=5^2" [1.2]"#

Equation [1.2] is the requested equation.