Question

In the coordinate plane , the points (-3,2) and (7,-2) are the endpoints of a diameter of a circle. what are the coordinates of the center circle

Answer 1

The centre of the circle will be the midpoint of the two coordinates

$\text {Midpoint = } \bigg( \dfrac{X_1 + X_2}{2} , \dfrac{Y_1 + Y_2}{2} \bigg)$

$\text {Midpoint = } \bigg( \dfrac{-3 + 7}{2} , \dfrac{2+ (-2)}{2} \bigg)$

$\text {Midpoint = } \bigg( \dfrac{4}{2} , \dfrac{0}{2} \bigg)$

$\text {Midpoint = } \bigg( 2, 0 \bigg)$

------------------------------------------------------------------------------------------------------
Answer: Coordinate of the centre of the circle = (2, 0)
------------------------------------------------------------------------------------------------------