Question

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?

Answer 1

(8,7)

Explanation:

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Answer 2

`( 8 ,7 )`

EXPLANATION

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

The midpoint formula is

`( (x_1+x_2)/(2) ,(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:

`( (11+5)/(2) ,(4+10)/(2) )`

`( (16)/(2) ,(14)/(2) )`

`( 8 ,7 )`