Question

in a circle the coordinates of end points of diameter are (a,b) and (c,d). find the coordinates of centre of that circle​

Answer 1

Answer:

(x,y) =  ( $\frac{a + c }{2}$, $\frac{b + d }{2}$ )

Step-by-step explanation:

Diameter is defined as the longest chord of the circle which passes through the center of the circle.

Also, diameter divides the circle into two equal halves.

The middle point of the diameter segment is known to be the center of the circle.

Let (x,y) be the coordinates of the center of the circle.

(x,y) is the mid point of the line segment joining the points (a,b) and (c,d).

Now, using mid point formula,

We get,

x= $\frac{a + c}{2}$

and y =  $\frac{b + d}{2}$