What is the equation of the circle with a center at $(4, - 7)$ $(4 ,-7 )$ and a radius of $8$ $8$ ?

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 $3$ ?

3852 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-26T22:45:53

${(x - 4)}^{2} + {(y + 7)}^{2} = 64$ $(x-4)^2+(y+7)^2=64$

The standard form of a circle with a center at $(h, k)$ $(h,k)$ and a radius $r$ $r$ is

${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$ $(x-h)^2+(y-k)^2=r^2$

Since the center is $(4, - 7)$ $(4,-7)$ and the radius is $8$ $8$ , we know that

${(h=4),(k=-7),(r=8):}$

Thus, the equation of the circle is

$(x-4)^2+(y-(-7))^2=8^2$

This simplifies to be

$(x-4)^2+(y+7)^2=64$

What is the equation of the circle with a center at (4 ,-7 )(4,−7)(4 ,-7 ) and a radius of 8 88 ?