Question

Write the standard form of the equation of the circle with the given center and radius.Center (0,0), r= 11

Answer 1

Given:

The centre of the circle, (h,k)=(0,0).

The radius of the circle, r=11.

Required:

We need to find the standard form of the equation of the circle with the given centre and radius.

Step-by-step explanation:

Consider the standard form of the equation of the circle.

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

where (h,k) is the centre and r is the radius.

Substitute h=0, k=0 and r=11 in the equation.

`(x-0)^2+(y-0)^2=11^2`
`Use\text{ }11^2=121.`

`x^2+y^2=121`

Final answer:

The standard form of the equation of the circle with the given centre and radius is

`x^2+y^2=121.`