173k views
2 votes
What is the center of the circle that has a diameter whose endpoints are (9, 7) and (-3, -5)?

A. (6, 6)

B. (3, 1)

C. (3, 4)

1 Answer

2 votes

Answer: OPTION B.

Explanation:

Given the endpoints of the diameter of the circle, we need to find the midpoint, which is the center of the circle.

The following formula is used to calculate the Midpoint:


M=((x_1+x_2)/(2),(y_1+y_2)/(2))

Given the endpoints of the diameter of the circle:


(9, 7)\ and\ (-3, -5)

We can identify that:


x_1=9\\x_2=-3\\y_1=7\\y_2=-5

Then, we can substitute these values into the formula:


M=((9+(-3))/(2),(7+(-5))/(2))\\\\M=(3,1)

Therefore, the center of the circle is:
(3,1)

User Deepali Agarwal
by
8.1k 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