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Chapter 13: Q. 22 (page 526)

Write an equation of the circle that has the given center and radius.

C(0,0)鈥夆赌夆赌�;鈥夆赌夆赌�r=6

Short Answer

Expert verified

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

Step by step solution

01

Step-1 – Given

The given center = C(0, 0) and radius = r = 6.

02

Step-2 – To determine

We have to find the equation of the circle.

03

Step-3 – Calculation 

Given that center = (a, b) = (0, 0) and radius = r = 6.

We will plug them in the standard form of a circle formula to get the equation:

x鈭�a2+y鈭�b2=r2

x鈭�02+y鈭�02=62x2+y2=36

So, the equation of the circle isx2+y2=36.

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