SOLUTION: Find the equation of the circle of radius 8 with its center at the origin.

Algebra.Com
Question 553687: Find the equation of the circle of radius 8 with its center at the origin.
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
formula for circle is (x-h)^2 + (y-k)^ = r^2
center is at the origin so (h,k) = (0,0)
r^2 = 8^2 = 64
equation is x^2 + y^2 = 64
to graph the circle, solve for y.
subtract x^2 from both sides of the equation to get:
y^2 = 64 - x^2
take the square root of both sides of the equation to get:
y = +/- sqrt(64-x^2)
graph looks like this:


RELATED QUESTIONS

Find the standard equation of a circle with center at the origin, radius... (answered by ikleyn)
Write the equation of a circle with center at the origin and radius... (answered by Edwin McCravy)
The equation x^2+y^2=169 defines a circle with its center at the origin and a radius of... (answered by rothauserc,ewatrrr)
Find the equation of the circle that passes through the origin and has its center at... (answered by Edwin McCravy)
Find the equation of the circle that has its center at (1,2) and that passes through the... (answered by Alan3354)
Find a an equation of the circle that satifies given conditions center (-6,-6) radius 3 (answered by josgarithmetic)
Find the equation of the circle with the center at the origin that contains the point... (answered by josgarithmetic)
write the standard form of the equation of the circle with the radius sqrt30 and whose... (answered by Theo)
Find the equation of the circle with center at the origin and tangent to the line... (answered by solver91311)