How do you graph #x^2 + y^2 = 100#?

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Answer 1 · 2018-06-07T21:05:17

Circle radius 10 centered on the origin.

The formula for the graph of a circle centered on #(h,k)# is:

#(x-h)^2+(y-k)^2=r^2#

you have:

#(x-0)^2+(y-0)^2=10^2#

so it is a circle of radius 10 centered at #(0,0)#

graph{x^2 + y^2 = 100 [-39.42, 40.58, -19.84, 20.16]}

Answer 2 · 2018-07-07T15:27:22

See below:

The equation of a circle is given by

#(x-h)^2+(y-k)^2=r^2#

with center #(h,k)# and radius #r#.

We have the equation

#x^2+y^2=100#, where the origin is our center since we have no #h# or #k# value. We also know from #sqrt100# that we have radius #10#.

We can now graph this circle knowing we are centered at the origin, and we have a radius of #10#.

graph{x^2+y^2=100 [-40, 40, -20, 20]}

Hope this helps!