Chapter 13: Q. 22 (page 526)

Write an equation of the circle that has the given center and radius.
$C (0, 0); r = 6$

Short Answer

Expert verified

The equation of the circle is $x^{2} + y^{2} = 36$ .

Step by step solution

Step-1 – Given

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

Step-2 – To determine

We have to find the equation of the circle.

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:

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

$\begin{array}{l} {(x - 0)}^{2} + {(y - 0)}^{2} = {(6)}^{2} \\ x^{2} + y^{2} = 36 \end{array}$

So, the equation of the circle is $x^{2} + y^{2} = 36 .$

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Write an equation of the circle that has the given center and radius.
$C (0, 0); r = 6$

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(0,0) ; r=6

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

Pure Maths

Decision Maths

Statistics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Write an equation of the circle that has the given center and radius.
$C (0, 0); r = 6$