51.5k views
8 votes
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 Harshal
by
7.7k points

1 Answer

13 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

__

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 Michael Klishin
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.