Assignment: Come Full Circle
1. Draw a picture and describe the locus. In a plane the points are 5 cm from a point D. Label all of the known information.
2. Review the circle graphed below.
A. Identify the center of the circle. Give the ordered pair of the center.
B. Determine the radius of the circle. Use the point (-11,6) on the circle to find the radius.
C. Write the standard equation of the circle.
3. Using the figure below, calculate the surface area and the volume. Show all of your work and round your answer to the nearest whole number.
A. Calculate the volume.
B. Calculate the surface area.
4. Below is a cylinder with a right circular cone inside. Use the steps below to find the volume of the shaded region.
A. Calculate the volume of the cylinder.
B. Calculate the volume of the cone.
C. Explain how you could use your answer from parts A and B to find the volume of the shaded region.
D. Calculate the volume of the shaded region.
5. Calculate the value of x in each of the following diagrams. Show all of your work.
