Key formulas to memorize

Practice

We're just memorizing formulas again: before doing the practice problems, go back and be sure that you've got the formulas for the trigonometric identities, geometric forms, and distances and slope memorized. Then do the following. You should be able to do these without having to go up and refer to the formulas above.

Note that you can get new practice problems by clicking the "Refresh" button at the bottom of the practice set.

For each of the following, enter as "pi". (So to enter 4, type "4pi" -- not "4(pi)" or "4*pi".) Enter any undefined result by typing "undef". Use the notation "sqrt(x)" to indicate the square root of x.

1. Find the area and circumference of a circle of radius 3 and diameter 6:
   Area =
   Circumference =
   (Enter answers, then click: . Answer message: )
   
2. Find the area and perimeter of a rectangle with length 1 and width 6:
   Area =
   Perimeter =
   (Enter answers, then click: . Answer message: )
   
3. Find the area of a triangle with base 5 and width 3:
   Area =
   (Enter answer, then click: . Answer message: )
   
4. Find the volume of a right circular cone with radius 2 and height 2:
   Volume =
   (Enter answer, then click: . Answer message: )
   
5. Find the volume of a right circular cylinder with radius 4 and height 4:
   Volume =
   (Enter answer, then click: . Answer message: )
   
6. Find the volume of a sphere of radius 1:
   Volume =
   (Enter answer, then click: . Answer message: )
   
7. Find the distance between and the slope of the line joining the points (-5,2) and (-6,-3):
   Distance =
   Slope =
   (Enter answers, then click: . Answer message: )
   
8. Find the distance between and the slope of the line joining the points (4,-4) and (5,-4):
   Distance =
   Slope =
   (Enter answers, then click: . Answer message: )
   

For more practice, click: .