Chapter 11: Q. 22E (page 1082)

In the following exercises, write the standard form of the equation of the circle with the given radius and center
Radius: $10,$ center: $(- 2, 6)$

Short Answer

Expert verified

The standard form of the equation of the circle is ${(x + 2)}^{2} + {(y - 6)}^{2} = 100 .$

Step by step solution

Step 1. Given Information

The given radius is $10$ and the center is $(- 2, 6) .$

We have to write the standard form of the equation of the circle with the given radius and center.

Step 2. Use the standard form of the equation of a circle

The standard form of the equation of a circle is ${(x - h)}^{2} + {(y - k)}^{2} = r^{2} .$

Now, substitute the given values in the equation $r = 10$ and $h = - 2, k = 6$

role="math" localid="1645193549342" ${(x + 2)}^{2} + {(y - 6)}^{2} = 10^{2} {(x + 2)}^{2} + {(y - 6)}^{2} = 100$

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In the following exercises, write the standard form of the equation of the circle with the given radius and center
Radius: $10,$ center: $(- 2, 6)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Use the standard form of the equation of a circle

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In the following exercises, write the standard form of the equation of the circle with the given radius and centerRadius: 10,center: (-2,6)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Use the standard form of the equation of a circle

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Probability and Statistics

Geometry

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, write the standard form of the equation of the circle with the given radius and center
Radius: $10,$ center: $(- 2, 6)$