Question

Write the equation in standard form for the circle with radius 4 centered at the origin.

Answer 1

(x-0)²+(y-0)²=16

Explanation:

The formula for the equation of a circle is (x-a)²+(y-b)²=r², with a,b=center coordinates, and r=radius.

Hope this helps!

Answer 2

We need to write the standard equation of circle with , center (0,0) and radius 4 unit . The Standard equation of the circle is:

`\longrightarrow ( x - h)^2 + (y -k)^2 = r^2`

`\longrightarrow( x -0)^2 + (y-0)^2 = 4^2`

`\longrightarrow \bold{x^2 + y^2 = 16 }`

• Hence the equation of the circle is
`x^2 + y^2 = 16`.