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Chapter 11: Q. 22E (page 1082)

In the following exercises, write the standard form of the equation of the circle with the given radius and center

Radius: 10,center: (-2,6)

Short Answer

Expert verified

The standard form of the equation of the circle is(x+2)2+(y-6)2=100.

Step by step solution

01

Step 1. Given Information

The given radius is10 and the center is(-2,6).

We have to write the standard form of the equation of the circle with the given radius and center.

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 given values in the equation r=10and h=-2,k=6

role="math" localid="1645193549342" (x+2)2+(y-6)2=102(x+2)2+(y-6)2=100

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