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What is the diameter of the circle (x + 25/4)² + y² = 25?

What is the diameter of the circle (x + 25/4)² + y² = 25?-example-1
User Marsh Ray
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2.8k points

1 Answer

26 votes
26 votes

Answer:

10 units

Explanation:

Compare the given equation to the standard-form equation for a circle to identify the relevant dimension.

The equation of a circle is written in standard form as ...

(x -h)² +(y -k)² = r² . . . . . . . centered at (h, k) with radius r

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Comparing this to what you are given, you see that ...

h = -25/4

k = 0

r² = 25

The radius is ...

r = √25 = 5

The diameter is twice the radius, so is ...

d = 2r = 2(5)

d = 10

The diameter of the circle is 10 units.

User Tore Olsen
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3.2k points