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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q.258 (page 1156)

In the following exercises, a) find the center and radius, then b) graph each circle:
$2 x^{2} + 2 y^{2} = 250$

Short Answer

Expert verified

The center is at $(0, 0)$ and radius is $5$ .

The graph can be given as

Step by step solution

01

Given information

We are given a equation of the circle $2 x^{2} + 2 y^{2} = 250$

02

Divide both sides by 2. And compare with standard equation

We get,

$x^{2} + y^{2} = 225$

On comparing with standard equation we get

$(x - 0) + (y - 0) = 15^{2}$

We get center is at $(0, 0)$ and radius is $15 u n i t s$

03

We plot the graph of the circle

The graph can be given as

04

Conclusion

The center is at $(0, 0)$ and radius is $5$

The graph can be given as

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