This GMAT quant practice question is a problem solving question in Geometry. Concept: Finding number of diagonals of an n-sided convex polygon.

Question 6: How many diagonals does a 63-sided convex polygon have?

- 3780
- 1890
- 3843
- 3906
- 1953

@ INR

The number of diagonals of an n-sided convex polygon = \\frac{\text{n(n - 3)}}{\text{2}})

This polygon has 63 sides. Hence, n = 63.

Therefore, number of diagonals = \\frac{\text{63 × 60}}{\text{2}}) = 1890.

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