A polygon has 44 sides, then the number of its diagonals are _________.Choices:- 901 902 910 900
Question
A polygon has 44 sides, then the number of its diagonals are _________.
Choices:-
- 901
- 902
- 910
- 900
Solution
The number of diagonals in a polygon can be calculated using the formula: n(n-3)/2, where n is the number of sides.
Step 1: Substitute the given number of sides into the formula. In this case, n = 44.
Step 2: Calculate the expression 44(44-3) = 44*41 = 1804.
Step 3: Divide the result by 2. So, 1804/2 = 902.
Therefore, a polygon with 44 sides has 902 diagonals. So, the correct choice is 902.
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