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Chapter 11: Q. 24 (page 1082)

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

Radius:1.5,center:(-5.5,-6.5)

Short Answer

Expert verified

The standard form of the equation of the circle is(x+5.5)2+(y+6.5)2=2.25.

Step by step solution

01

Step 1. Given Information

The given radius is1.5 and the center is(-5.5,-6.5).

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=1.5and h=-5.5,k=-6.5

role="math" localid="1645193858966" (x+5.5)2+(y+6.5)2=1.52(x+5.5)2+(y+6.5)2=2.25

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