Question

Can someone please help me and show me how to solve this problem step by step?

Find a circle with the center at (7,1), graph contains the point (1,-7).

Answer 1

The standard form equation of a circle is a way to express the definition of a circle on the coordinate plane.

On the coordinate plane, the formula becomes (x−h)^2+(y−k)^2=r^2

h and k are the x and y coordinates of the center of the circle

(x−9)^2+(y−6)^2=100 is a circle centered at (9,6) with a radius of 10

Answer 2

Now you know where to center your circle, so you need to figure out your radius to include the point you need. You got it?

Answer 3

Yeah I understand what you've said so far, I'm just not sure how to find the radius.

Answer 4

The equation of this problem would be (x-7)^2+(y-1)^2=r^2

Answer 5

Right, now try drawing a picture. You need the distance from the center to the point asked for, thats your radius.

Answer 6

So I draw a circle on a graph. With the center at (7,1) and plot the point given, (1,-7). Correct?