230k views
0 votes
Which equation represents a circle with the same center as the circle shown but with a radius of 2 units?

(x – 4)2 + (y – 5)2 = 2
(x – 4)2 + (y – 5)2 = 4
(x – 5)2 + (y – 4)2 = 2
(x – 5)2 + (y – 4)2 = 4

Which equation represents a circle with the same center as the circle shown but with-example-1

2 Answers

7 votes

Answer:

b. (x – 4)2 + (y – 5)2 = 4

Explanation:

User GuyT
by
8.6k points
4 votes
The answer answer will be (x-4)2 + (y-5)2 = 4.
You get this by using the coordinate of the center of the circle, which is (4,5).
The equation of a circle is (x-h)2 + (y-k)2 = r2
Using the center coordinate, h=4 and k=5. Your radius is given as 2 units.
Inserting all the values into the equation you get,
(x-4)2 + (y-5)2 = 2^2
Simplifying you then get (x-4)2 + (y-5)2 = 4.
User Nikhil Mohan
by
8.9k points

No related questions found

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

9.4m questions

12.2m answers

Categories