Chapter 13: Q. 24WE (page 526)

Write an equation of the circle that has the given center and radius.
$C (- 2, 5); r = \frac{1}{3}$

Short Answer

Expert verified

The equation of the circle is ${(x + 2)}^{2} + {(y - 5)}^{2} = \frac{1}{9}$

Step by step solution

Step-1 – Given

The given center = C(-2, 5) and radius = r = $\frac{1}{3} .$

Step-2 – To determine

We have to find the equation of the circle.

Step-3 – Calculation

Given that center = $(a, b) = (- 2, 5) andradiusr = \frac{1}{3}$ We will plug them in the standard form of a circle formula to get the equation:

${(x - a)}^{2} + {(y - b)}^{2} = r^{2}$

$\begin{array}{l} {(x - (- 2))}^{2} + {(y - 5)}^{2} = {(\frac{1}{3})}^{2} \\ {(x + 2)}^{2} + {(y - 5)}^{2} = \frac{1}{9} \end{array}$

So, the equation of the circle is ${(x + 2)}^{2} + {(y - 5)}^{2} = \frac{1}{9} .$

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Write an equation of the circle that has the given center and radius.
$C (- 2, 5); r = \frac{1}{3}$

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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