# If the endpoints of the diameter of a circle are (7, 8) and (-2, 12), what are the coordinates of the center of the circle?

##### 1 Answer

Feb 11, 2016

centre =

#(5/2 , 10 )#

#### Explanation:

The centre of the circle is at the mid-point of the diameter. Hence to find coords of centre , find the mid-point of the end points.

hence :

# [ 1/2 (x_1 + x_2 ) , 1/2(y_1 + y_2 ) ]# let

# (x_1 , y_1 ) = ( 7 , 8 )color(black)(" and ") (x_2 , y_2 ) =(-2 , 12 )# substitute these values into the formula:

# rArr[ 1/2(7-2) , 1/2(8+12 )] = ( 5/2 , 10 )#