Question

A circle has a diameter with endpoints of (-3, 8) and (7, 4). What is the center of the circle?

(10, 12)
(5, 12)
(2, 6)

Answer 1

Mid point of diameter is the centre of the circle

Answer 2

The center of the circle would be the center of the diameter.
Find the mean of the x-coordinates.
Find the mean of the y-coordinates.
Now, the new coordinates you get it the midpoint i.e the center of the circle.

Answer 3

You can use the formula for calculating mid point of a line having end points as (x1, y1), (x2,y2)

The point is (x1 + x2)/2, (y1+y2)/2

Answer 4

\(\color{Black}{\Rightarrow \Large( {-3 + 7 \over 2}, {8 + 4 \over 2}})\)

Answer 5

Now substitute x1 = -3

x2 = 7

y1 = 8

y2 = 4