How do you find the area of a circle whose center is at (0,2) and passes through the point (4,-3)?

Answer 1

Use the distance formula to find the square of the distance between (0,2) and (4,-3):

(-3-2)^2 +(4-0)^2 = 41

that distance is the radius squared

area = PI * radius squared = 41 PI = 128.8 (using 3.14159 for PI)