The endpoints of the diameter of a circle are at (1, 2) and (7, -6). What is the circumference of the circle, to the nearest tenth of a unit?

A. 15.7 units
B. 31.4 units
C. 62.8 units
D. 78.5 units

I am confused. Please help me.

4 answers

Well, how long is the diameter?
It is the distance between (1, 2) and (7, -6)
distance in x = 7-1 = 6
distance in y = -6 -2 = -8
so
d = sqrt [6^2 + (-8)^2 ] = sqrt (36+64) = sqrt 100 = 10
(of course we all knew it was a 3,4,5 right triangle)
so we have a circle of diameter 10 and radius 5
You do the rest. 10 pi = ?
31.4? B?
Yes, 3.14159 * 10 = 31.4 approximately
Got it! Thanks bro!