Question

Write the standard form of the equation of the circle with its center at (-2,0), and a radius of 10.

Answer 1

The standard form of the equation of the given circle is (x+2)²+y²=100

Step-by-step explanation:

The standard equation of a circle is (x-h)²+(y-k)²=r².

where h and k are the center points and r is the radius.

It is given center of the circle is at (-2,0) and radius = 10

So, h= -2, k=0 and r=10.

Now substituting the value in the standard equation of circle we get:

(x-h)²+(y-k)²=r²

⇒(x-(-2))²+(y-0)²=10²

⇒(x+2)²+y²=100

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