Question

How do you find the center, circumference, and area of the circle diameter with endpoints:P(2,4) & Q(-3,16)?

Answer 1

The center of your circle would be the midpoint between (2,4) and (-3,16): `((2+(-3))/2,(4+16)/2)` or `(-1/2,10)`.

Explanation:

Now, calculate the radius from the center to either endpoint:
(Distance Formula)
`sqrt((-1/2-2)^2+(10-4)^2)` = `sqrt(169/4)` = `13/2`.

To calculate circumference, now use `2pi*13/2` = `13pi` or about 40.84 units of length.

For area, use `pi*(13/2)^2` = `(169pi)/4` or `~~132.73` square units.