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

1 Answer
Jan 21, 2017

Answer:

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.