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Chapter 11: Q. 23E (page 1082)

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

Radius: 2.5,center: (1.5,-3.5)

Short Answer

Expert verified

The standard form of the equation of the circle is(x-1.5)2+(y+3.5)2=6.25.

Step by step solution

01

Step 1. Given Information

The given radius is2.5 and the center is(1.5,-3.5).

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=2.5and h=1.5,k=-3.5

role="math" localid="1645193706964" (x-1.5)2+(y+3.5)2=2.52(x-1.5)2+(y+3.5)2=6.25

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