Equation of a Circle
Instruction Active
Determining Whether a Point Lies on a Circle
The point (0,5) lies on a circle that is centered at the
origin. Does (-3,-4) also lie on the circle?
1. Identify the radius from the graph.
rul units
r
=
x
2. Determine the distance from the center to
(-3, 4) using the distance formula.
distance =
units
-10 -8
6 H4
2
4/6
8 10
3. Compare the radius to the distance. Does the
point (-3, -4) also lie on the circle?
Dane

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.