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Chapter 11: Q. 20 (page 1082)

In the following exercises, write the standard form of the equation of the circle with the given radius5 and center(0,0).

Short Answer

Expert verified

The standard form of the equation of the circle isx2+y2=5.

Step by step solution

01

Step 1. Given Information

The given radius is 5and center is (0,0).

We have to write the standard form of the equation of the circle.

02

Step 2. Use the standard form of the equation of a circle

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

Now, substitute the values in the equation r=5and h=0,k=0

(x-0)2+(y-0)2=52

03

Step 3. Simplify

By simplifying we get,

(x-0)2+(y-0)2=52x2+y2=5

Thus, the standard form of the equation of the circle isx2+y2=5.

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