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Chapter 13: Q. 24WE (page 526)

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

C(鈭�2,5)鈥夆赌夆赌�;鈥夆赌夆赌�r=13

Short Answer

Expert verified

The equation of the circle is x+22+y鈭�52=19

Step by step solution

01

Step-1 – Given

The given center = C(-2, 5) and radius = r = 13.

02

Step-2 – To determine

We have to find the equation of the circle.

03

Step-3 – Calculation 

Given that center =a,b=鈭�2,5andradiusr=13 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�鈭�22+y鈭�52=132x+22+y鈭�52=19

So, the equation of the circle isx+22+y鈭�52=19.

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