Find the area and the circumference of a circle with a center of (3, -2) and passes through the point (6, 1).

Question

Find the area and the circumference of a circle with a center of (3, -2) and passes through the point (6, 1).

Answer 1

Use the distance formula to find the distance between the center, (3, -1), and the given point on the circle, (6, 1). You can look up the distance formula in your book or on-line. That distance is equal to the radius, r, of the circle. The formulas for the circumference and area are:

C = 2·π·r

A = π·r²

Plug in the value for r that you got from the distance formula then use your calculator to compute the answers.