Chapter 13: Q. 21 (page 526)

Write an equation of the circle that has the given center and radius. $C (3, 0); r = 8$

Short Answer

Expert verified

The equation of the circle is ${(x - 3)}^{2} + y^{2} = 64$

Step by step solution

Step-1 – Given

The given center = C(3, 0) and radius = r = 8.

Step-2 – To determine

We have to find the equation of the circle.

Step-3 – Calculation

Given that center = (a, b) = (3, 0) and radius = r = 8.

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

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

$\begin{array}{l} {(x - 3)}^{2} + {(y - 0)}^{2} = {(8)}^{2} \\ {(x - 3)}^{2} + y^{2} = 64 \end{array}$

So, the equation of the circle is ${(x - 3)}^{2} + y^{2} = 64$ .

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Write an equation of the circle that has the given center and radius. $C (3, 0); r = 8$

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.C(3,0) ; r=8

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Calculus

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Decision Maths

Study anywhere. Anytime. Across all devices.

Write an equation of the circle that has the given center and radius. $C (3, 0); r = 8$