Chapter 11: Q. 36 (page 1082)

In the following exercises, ⓐ find the center and radius, then ⓑ graph each circle.
${(x - 1)}^{2} + {(y - 3)}^{2} = \frac{9}{4}$

Short Answer

Expert verified

(a) Center of the circle ${(x - 1)}^{2} + {(y - 3)}^{2} = \frac{9}{4}$ is $(1, 3)$ and radius is $1.5$

(b) graph of the circle is

Step by step solution

Step 1. given data

The given equation of the circle is

${(x - 1)}^{2} + {(y - 3)}^{2} = \frac{9}{4}$

Step 2. Part (a)

Compare the equation of the circle with the standard equation of the circle

${(x - 1)}^{2} + {(y - 3)}^{2} = \frac{9}{4} {(x - 1)}^{2} + {(y - 3)}^{2} = {(\frac{3}{2})}^{2} {(x - 1)}^{2} + {(y - 3)}^{2} = {(1.5)}^{2} {(x - h)}^{2} + {(y - k)}^{2} = {(r)}^{2}$

so center $(h, k) = (1, 3)$

and radius $r = 1.5$

Step 3. Part (b)

Plot the circle of center $(1, 3)$ and radius $1.5$

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In the following exercises, ⓐ find the center and radius, then ⓑ graph each circle.
${(x - 1)}^{2} + {(y - 3)}^{2} = \frac{9}{4}$

Short Answer

Step by step solution

Step 1. given data

Step 2. Part (a)

Step 3. Part (b)

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In the following exercises, ⓐ find the center and radius, then ⓑ graph each circle.(x-1)2+(y-3)2=94

Short Answer

Step by step solution

Step 1. given data

Step 2. Part (a)

Step 3. Part (b)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In the following exercises, ⓐ find the center and radius, then ⓑ graph each circle.
${(x - 1)}^{2} + {(y - 3)}^{2} = \frac{9}{4}$