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Chapter 11: Q. 11.12 (page 1076)

Write the standard form of the equation of the circle with a radius of 9and center(鈭�3,鈭�5).

Short Answer

Expert verified

The equation of the circle is (x+3)2+(y+5)2=81.

Step by step solution

01

Step 1. Given information.

The radius of the circle is 9.

The center of the circle is (-3,-5).

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

02

Step 2. Write the standard form of the equation of the circle

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

03

Step 3. Substitute the values of radius and center

Put (h,k)=(-3,-5)r=9

The equation of the circle will be:

(x-(-3))2+(y-(-5))2=92(x+3)2+(y+5)2=81

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In the following exercise, factor completely using the perfect square trinomials pattern.

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