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Questions and Answers
What is the value of pi (π) approximately equal to?
What is the value of pi (π) approximately equal to?
In a right-angled triangle, what is the relationship between the square of the length of the hypotenuse and the sum of the squares of the other two sides?
In a right-angled triangle, what is the relationship between the square of the length of the hypotenuse and the sum of the squares of the other two sides?
What is the value of 'e' (Euler's number) approximately equal to?
What is the value of 'e' (Euler's number) approximately equal to?
What is the value of the square root of 64?
What is the value of the square root of 64?
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Which of the following is an irrational number?
Which of the following is an irrational number?
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What is the sum of interior angles of a hexagon?
What is the sum of interior angles of a hexagon?
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Study Notes
Mathematical Constants and Values
- Pi (π) is approximately equal to 3.14, representing the ratio of a circle's circumference to its diameter.
- Euler's number (e) is approximately equal to 2.718, commonly used in exponential growth and decay calculations.
Right-Angled Triangle Properties
- In a right-angled triangle, the relationship is defined by the Pythagorean theorem: the square of the hypotenuse length is equal to the sum of the squares of the other two sides (a² + b² = c²).
Basic Arithmetic
- The square root of 64 is 8, a perfect square.
Number Classification
- An irrational number cannot be expressed as a fraction of two integers, examples include √2 and π.
Geometry Facts
- The sum of interior angles in a hexagon is 720 degrees, calculated by the formula (n-2) × 180° where n is the number of sides.
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Description
Test your knowledge of mathematical constants and principles with questions on the value of pi (π), the Pythagorean theorem, and Euler's number.