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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 13: Q. 24 (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 = $\frac{1}{3}$ .

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Most popular questions from this chapter

A line passes through points (-2, -1) and (4, 3). Where does the line intersect the x-axis? the y-axis?

In Exercises 35-38 find an equation of the circle described and sketch the graph.

The circle has center (p, q) and is tangent to the x-axis.

Find the slope and length of AB.

A(0, -9), B(8, -3)

This exercise provides a geometric method of justifying the fact that you can use any two points on a line to determine the slope of the line. Horizontal and vertical segments have been drawn as shown. Supply the reason for each step.

Key steps of proof:

$\begin{array}{l} 1. ∠ B ≅ ∠ A \\ 2. ∠ 1 ≅ ∠ 2 \\ 3. Δ L B N ~ Δ D A J \\ 4. \frac{B N}{A J} = \frac{L B}{D A}, o r \frac{B N}{L B} = \frac{A J}{D A} \end{array}$

5. The slope of LN equals $\frac{B N}{L B}$ and the slope of DJ equals $\frac{A J}{D A}$

6. Slope of LN equals to slope of DJ.

Find the slope and length of AB.

14. A(8, -7), B(-3, -5)

See all solutions

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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

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Write an equation of the circle that has the given center and radius.C(−2,5) ; r=13

Short Answer

Step by step solution

Step-1 – Given

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Applied Mathematics

Study anywhere. Anytime. Across all devices.

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