
Understanding Archimedes' Method for Approximating Pi

Interactive Video
•
Mathematics, Science
•
7th - 10th Grade
•
Hard

Aiden Montgomery
FREE Resource
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5 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What geometric shape did Archimedes use to initially approximate pi?
Square
Triangle
Pentagon
Hexagon
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When a square is inscribed inside a circle, how does its perimeter compare to the circle's circumference?
The perimeter is twice the circumference
The perimeter is greater than the circumference
The perimeter is equal to the circumference
The perimeter is less than the circumference
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate perimeter of the inscribed square calculated using trigonometry?
3.5
2.828
3.14
4.0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How did Archimedes improve his approximation of pi?
By using a smaller circle
By increasing the number of sides of the polygons
By using a larger circle
By decreasing the number of sides of the polygons
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What was the range of pi that Archimedes calculated using a 96-sided polygon?
Less than 3 1/6 but greater than 3 1/5
Less than 3 1/3 but greater than 3 1/4
Less than 3 1/7 but greater than 3 10/71
Less than 3 1/2 but greater than 3 1/3
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