GMAT Quant Questions | Geometry #6
Number of diagonals | Properties of Polygons | GMAT Sample Questions
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
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Explanatory Answer | GMAT Geometry
Number of diagonals in a polygon
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.
Choice B is the correct answer.
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