1In unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.
What is the equation of circle?
The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center of the circle and (r) is the radius of the circle.
For the first problem,
[tex]x^2+(y+2)^2=64[/tex]
Rewrite the equation to make it the equation of circle as,
[tex](x-0)^2+(y-(-2))^2=8^2[/tex]
Compare it with equation of circle, we get center at (0,-2) and radius of 8 units. Similarly, the center and radius for each of the equation can be found out.
Thus, in unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.
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