Mathematics: Rs is the diameter of circle t. point r is located at (11, 10) and point s is located at (5, 4). what are the coordinates of the center of this circle?

Rs is the diameter of circle t. point r is located

hopkinbr

11.03.2022

ANSWER

( 8 ,7 )

EXPLANATION

Use the midpoint formula to find the center of this circle.

The midpoint formula is

$( \frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

The reason is that, the midpoint of the diameter RS gives the center of the circle.

Point R is located at (11, 10) and point S is located at (5, 4).

We plug in the values to get:

$( \frac{11+5}{2} ,\frac{4+10}{2} )$

$( \frac{16}{2} ,\frac{14}{2} )$

( 8 ,7 )

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