Chapter 11: Q. 11.17 (page 1079)

(a) Find the center and radius, then (b) graph the circle: $3 x^{2} + 3 y^{2} = 27$

Short Answer

Expert verified

The center and the radius of the circle are $(0, 0)$ and $3$ respectively. The graph of this circle is:

Step by step solution

Part (a) Step 1. Given information.

The equation of the circle is $3 x^{2} + 3 y^{2} = 27$

We have to find radius and center.

Also, we have to graph this circle.

Part (a) Step 2. Compare with the standard form of a circle to find radius and center

We have, $3 x^{2} + 3 y^{2} = 27$

Divide each side by $3$ ,

$x^{2} + y^{2} = 9$

Compare with role="math" localid="1645266472741" ${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$

We have $(h, k) = (0, 0)$

and $r = 3$

Part (b) Step 1. Graph the circle using radius and center

The graph is:

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(a) Find the center and radius, then (b) graph the circle: $3 x^{2} + 3 y^{2} = 27$

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Compare with the standard form of a circle to find radius and center

Part (b) Step 1. Graph the circle using radius and center

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(a) Find the center and radius, then (b) graph the circle:3x2+3y2=27

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Compare with the standard form of a circle to find radius and center

Part (b) Step 1. Graph the circle using radius and center

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.

(a) Find the center and radius, then (b) graph the circle: $3 x^{2} + 3 y^{2} = 27$