Find the relationship between the areas of the following shapes.

a. A square of side length

b. A parallelogram of base and height

c. A triangle with base and height

Examine (a), (b), and (c) to find the best answer:

a) area of a circle with a circumference of

b) area of a circle with a radius of

c) area of a circle with a diameter of

Find the relationship between the perimeters of these shapes.

a. A square with area

b. A circle with diameter

c. A pentagon with side length

Circle has a radius of inches, a circumference of inches, and an area of inches squared.

Now imagine three other circles:

a) Circle has a radius of

b) Circle has a circumference of

c) Circle has an area of

Examine the above three figures. All three squares have the same area.

Of Figure B and Figure C, which figure(s) have the same area shaded in as does Figure A?

Examine (a), (b), and (c) to find the best answer:

a) half the volume of a cube with dimensions inches by inches by inches

b) the volume of a cube with dimensions inches by inches by inches

c) the volume of a cube with dimensions inches by inches by inches

Find the relationship between the perimeters of the following shapes.

a. Regular hexagon with side length

b. Square with side length

c. Equilateral triangle with side length

, , and each refer to the fractions of their respective figures that are gray.

Which statement is correct?

Examine (a), (b), and (c) to find the best answer:

a) area of a square with a perimeter of

b) area of a square with a side length of

c) area of a square with a side length of

Note: Figures NOT drawn to scale.

In the above diagram, let , , and represent the radii of their respective circles.

Which is a correct statement?