Pi Test
(*Show all your work. 10 points per question)
1. Match the definition to the correct answer. (You only score points if all
the questions are matched correctly, any wrong answers will result in
a 0 for this question)
A. 𝞹 B. 𝞹r2 C. Diameter
Circumference
D. 𝞹D
E. 2𝞹r
F. Radius
__ The formula for circumference (when given a diameter).
__ The ratio of the circumference and diameter.
__ The distance from the center of the circle to any point on the
circle.
__ The formula for finding the area of a circle.
__ The formula for circumference (when given a radius).
__ A line segment that has endpoints on the circle and passes
through the midpoint.
__ The distance around a circle.
2. What family of numbers does 𝞹 belong to?
a. Rational
b. Irrational
c. Integers
d. It has no family ):
G.
3. Which best describes why it is not possible to make a perfect circle?
a. What do you mean? It is possible.
b. Because our universe is finite.
c. Because we don’t have the technology to do it.
d. Because my teacher said so.
4. What was the name of the mathmetician who proved 𝞹?
a. Archimedes
b. Archimedees
c. Arkimeedees
d. Archie
5. True or False, a circle is a plane figure with infinitely many sides?
a. True
b. False
c. I don’t know?
6. Manipulate this equation so that we can solve for the circumference C
(You must show all your work)
𝞹=C
D
7. Explain the process that our favorite mathmeticain used to derive the
formula we know as the area of a circle A = 𝞹r2
8. What is the circumference of this circle? (Write your answer in terms of
𝞹)
9. What is the Area of this Circle (Write your answer in terms of 𝞹)
10. Find the Radius of a circle with an area of 24𝞹 units.
(Must show all work, and have a reduced answer for full credit)
11. BONUS! For every number in 𝞹 you know you will receive 0.25 extra
credit points.
𝞹=