Question

If a diameter of a circle has endpoints (-3,5) and
(5, 7), then the center of the circle is

Answer 1

`\huge\mathbb{ \underline{SOLUTION :}}`

Given:

`\longrightarrow\bold{(-3,5)}`

`\longrightarrow\bold{(5, 7)}`

Calculate the average value between the x-coordinates of the diameter and do the same for the y-coordinates:

`\longrightarrow\sf{C_x=(-3+5)/(2) = (2)/(2) =1}`

`\longrightarrow\sf{C_y= (5+7)/(2) = (12)/(2) = 6 }`

`\huge \mathbb{ \underline{ANSWER:}}`

`\longrightarrow\sf{=(1,6)}`

Answer 2

(1 , 6)

Explanation:

the center of the circle is the midpoint of the diameter

Which is the point of coordinates:

`((-3+5)/(2) ,(5+7)/(2) )`

Then the center is the point :

`(1 , 6)`