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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?
- 3.00
- 2.71
- 3.50
- 3.14 (correct)
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?
- They are equal (correct)
- The square of the hypotenuse is greater than the sum of the squares of the other two sides
- The square of the hypotenuse is less than the sum of the squares of the other two sides
- There is no specific relationship
What is the value of 'e' (Euler's number) approximately equal to?
What is the value of 'e' (Euler's number) approximately equal to?
- 3.00
- 2.00
- 2.71 (correct)
- 3.14
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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