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How many diagonals can be there in a regular polygon with 37 sides?
Question

How many diagonals can be there in a regular polygon with 37 sides?

A.

629

B.

740

C.

729

D.

640

Correct option is A

Given
Number of sides in the polygon (n) = 37
Formula Used
Number of diagonals = n(n3)2 \frac{n(n - 3)}{2}​​
Solution
Substitute n = 37 into the formula
Diagonals =  37×(373)2\frac{37 \times (37 - 3)}{2}​​

Diagonals = 37×342\frac{37 \times 34}{2}​​
Diagonals = 37 × 17 = 629
Final Answer
So the correct answer is (a)

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