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Chapter 11: Q. 11.9 (page 1076)

Write the standard form of the equation of the circle with a radius of 6 and center (0,0).

Short Answer

Expert verified

The required equation of the circle is x2+y2=36.

Step by step solution

01

Step 1. Concept Used

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

02

Step 2. Form the equation

The circle has a radius of 6and center (0,0).

So use the standard form of the equation of a circle and substitute 0for h, 0for k, and 6for rto form the equation as

role="math" localid="1645185863810" (x-h)2+(y-k)2=r2(x-0)2+(y-0)2=62x2+y2=36

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