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Chapter 11: Q. 18 (page 1082)

In the following exercises, write the standard form of the equation of the circle with the given radius and center(0,0).
Radius is9.

Short Answer

Expert verified

The standard form of the equation of circle isx2+y2=81.

Step by step solution

01

Step 1. Given and explanation.

We have the center of the circle as (0,0)and the radius is 9.

We know that the standard form of the equation of circle is (x-h)2+(y-k)2=r2, where (h,k)is the coordinate of the center of the circle andr is radius.
Applying this and simplifying the expression will give us the equation.

02

Step 2. Finding equation of circle.

We have the center, i.e., (h,k)as (0,0)and the radius, i.e., ras 9.

Substituting these values in the standard form of equation gives us,
(x-0)2+(y-0)2=(9)2.

Simplifying this gives the equation of circle asx2+y2=81

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