Question

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

Answer 1

Answer:

(1 , 6)

Step-by-step explanation:

the center of the circle is the midpoint of the diameter

Which is the point of coordinates:

$(\frac{-3+5}{2} ,\frac{5+7}{2} )$

Then the center is the point :

$(1 , 6)$

Answer 2

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

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:

$\longrightarrow\sf{C_x=\dfrac{-3+5}{2} = \dfrac{2}{2} =1}$

$\longrightarrow\sf{C_y= \dfrac{5+7}{2} = \dfrac{12}{2} = 6 }$

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

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