# 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?

1. 3780
2. 1890
3. 3843
4. 3906
5. 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. #### GMAT Online CourseTry it free! Register in 2 easy steps and Start learning in 5 minutes! #### Already have an Account? #### GMAT Live Online Classes Next Batch July 20, 2024 Work @ Wizako ##### How to reach Wizako? Mobile:$91) 95000 48484
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