The center of the circle in the graph is located at point (-1, 3). The point (3, 3) is on the circumference of the circle. What is the approximate area of the circle if you use 3.14 for pi?

Answer 1

center = (-1,3)

with (3,3) on the circumference of the circle

what is the area of the circle?

the distantce from the center to (3,3) = the radius of the circle = sqr(4^2+0^2) = 4, using the distance formula

radius = 4

the Area = pi(r^2) = about 3.14(4^2)

= 3.14(16) = 50.24 square units

a closer approximation is 50.26548246 units^2

while 50.24 appears to be accurate to 2 decimal places, it's not even accurate to 1 decimal place. 50.3 is a closer approximation than 50.2, 50.27 closer than 50.24

A TI84 Plus will give you far more decimal places, accurately.

it might help to graph the circle