Question

Write the standard form of the equation and the general form of the equation of the circle with radius r and center​ (h,k). Then graph the circle.
r=2​;    ​(h,k)= (2,0)

Answer 1

Heya,

The standard form of a circle is given by an equation(centred at origin).

${x}^{2} + {y}^{2} = {r}^{2}$

where, r = radius of the circle.

When, centre is (h,k). it is given by

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

The equation of the circle specifically mentioned in the question will be

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

Its rough sketch is in the attachment.