answersLogoWhite

0

Subjects>Math>Geometry

How many sides does a polygon have if it has 902 diagonals?

User Avatar

Anonymous

∙ 15y ago
Updated: 4/28/2022

Let n be the number of sides:

1/2*(n2-3n) = diagonals

1/2*(n2-3n) = 902

Multiply both sides by 2 and form a quadratic equation:

n2-3n-1804 = 0

Solving the above by means of the quadratic equation formula gives a positive value for n as 44

Therefore the polygon has 44 sides

User Avatar

Wiki User

∙ 15y ago
Copy

What else can I help you with?

Continue Learning about Geometry
Related Questions

How many diagonals does a 44 sided polygon has?

It has 40 diagonals.Improved Answer:-Using the formula for diagonals of a polygon: 0.5*(442-132) = 902 diagonals


How many times does 4 go into 902?

It is: 902/4 = 225.5


How many miles is 902 feet?

5280 feet = 1 mile 902 feet = 902/5280 = 451/2640 = 0.170833 miles


How many kilometers are there in 902 miles?

There are 1.609344 kilometres in one mile. Therefore, 902 miles is equal to 902 x 1.609344 = 1451.628288 kilometres.


How many miles is 902 kilometers?

1 km=0.621 miles so, 902 kms=560.142 miles


What is 902x902?

902 x 902 = 813604


902 oz equals how many grams?

25,571.27 grams.


What is 902 divisible by?

902 is divisible by 1, 2, 11, 41, 82, 451, and 902.


What is 533 plus 902?

533 + 902 = 1435


What is 100 plus 902?

100 + 902 = 1002


What is 897 plus 902?

897 + 902 = 1799


What is 902-209?

1111

Trending Questions
True or false Sizing handles appear around the control that is currently selected? How many square yards of carpet do you need for a 12x32 foot room? You are a flat shape and can be folded up into a three-dimensional solid what are you? How do you figure out hypotrnuse for right triangle? In this parallelogram the measure of b exceeds the measure of a by 30 what is the measure of d? What is the same about a rhombus and a kite? What year was passion for angling made? What does the formula Pi r2 mean? Phi nu pi? What is the volume of a king size mattress? What cuts a diamond? What does gz mean on coin quality? Kinds of Polygons? What is the radius of a circle with a 12 inch diameter? How do you find sine? How do you undo a circumference? What has a flat surface and 0 vertices? What is 340 square meter to square feet? How many faces does a square pyramis have? What is the volume of a cone with a height of 11 and radius of 6?

Resources

Leaderboard All Tags Unanswered

Top Categories

Algebra Chemistry Biology World History English Language Arts Psychology Computer Science Economics

Product

Community Guidelines Honor Code Flashcard Maker Study Guides Math Solver FAQ

Company

About Us Contact Us Terms of Service Privacy Policy Disclaimer Cookie Policy IP Issues
Answers Logo
Copyright ©2026 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.