Chapter 9: Q. 3 (page 582)

The standard equation of a circle with center at $(- 2, 5)$ and radius $3$ is ______ .

Short Answer

Expert verified

The standard equation of a circle with center at $(- 2, 5)$ and radius $3$ is ${(x + 2)}^{2} + {(y - 5)}^{2} = 9 .$

Step by step solution

Step 1. Given Information

The given center of a circle is $(- 2, 5)$ and radius is $3 .$

Step 2. Filling the blank

The standard equation of a circle with center $(h, k),$ and radius $r$ is ${(x - h)}^{2} + {(y - k)}^{2} = r^{2} .$

So, the standard equation of a circle with center at $(- 2, 5)$ and radius $3$ isrole="math" localid="1646719972363" ${(x + 2)}^{2} + {(y - 5)}^{2} = 3^{2} {(x + 2)}^{2} + {(y - 5)}^{2} = 9$

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The standard equation of a circle with center at $(- 2, 5)$ and radius $3$ is ______ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Filling the blank

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The standard equation of a circle with center at -2,5and radius 3is ______ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Filling the blank

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Logic and Functions

Pure Maths

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

The standard equation of a circle with center at $(- 2, 5)$ and radius $3$ is ______ .