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How to find an area of a circumbscribed hexagon using the diameter?

: The formula for the area of a circumscribed hexagon = 1/2 * 6 * a * r where a = side length and r = radius of the circle ( = 1/2 the diameter) so in terms of the diameter and side length its 1/2 * 1/2 * 6 *d * a = 1.5 ad.

You can calculate the value of a by using trigonometry You consider one of the 6 isosceles triangles that make up the hexagon. The vertex angle of these triangles = 60 degrees so:-

tan 30 = 1/2 a / r = 1/2 a / 1/2 d = a/d

a = d tan 30 = sqrt3 d / 3

Substituting for a :-

So the required formula for the area of the hexagon = 1.5 ad

= 1.5 * sqrt3 d * d / 3 = 1/2 sqrt3 d^2 Answer

Area of Hexagon Formulas Examples Diagrams — Area of Hexagon Formulas Examples Diagrams

Source: mathmonks.com

Area of a Hexagon (Formula Example) — Area of a Hexagon (Formula Example)

Source: www.worksheetsplanet.com

2 Easy Ways to Calculate Area of a Hexagon Formulas — 2 Easy Ways to Calculate Area of a Hexagon Formulas

Source: www.voovers.com

Area of a Hexagon Calculator Mashup Math — Area of a Hexagon Calculator Mashup Math

Source: www.mashupmath.com

How to Find the Area of a Hexagon in 3 Easy Steps Mashup Math — How to Find the Area of a Hexagon in 3 Easy Steps Mashup Math

Source: www.mashupmath.com

Area of Hexagon Formula Examples Area of Regular Hexagon — Area of Hexagon Formula Examples Area of Regular Hexagon

Source: www.cuemath.com

Area of a Hexagon: Formula Examples Curvebreakers — Area of a Hexagon: Formula Examples Curvebreakers

Source: curvebreakerstestprep.com

Hexagon Calculator — Hexagon Calculator

Source: calckit.io

There is a hexagon MNOPQR of side 5 cm Aman and Ridhima divided it — There is a hexagon MNOPQR of side 5 cm Aman and Ridhima divided it

Source: www.shaalaa.com

Area of a Hexagon: Formula Examples Curvebreakers — Area of a Hexagon: Formula Examples Curvebreakers

Source: curvebreakerstestprep.com

Area of a Hexagon: Formula Examples Curvebreakers — Area of a Hexagon: Formula Examples Curvebreakers

Source: curvebreakerstestprep.com

Area of a Hexagon: Formula Examples Curvebreakers — Area of a Hexagon: Formula Examples Curvebreakers

Source: curvebreakerstestprep.com

Area of a Hexagon: Formula Examples Curvebreakers — Area of a Hexagon: Formula Examples Curvebreakers

Source: curvebreakerstestprep.com

How To Draw A Hexagon Using Compass Theorygene23 — How To Draw A Hexagon Using Compass Theorygene23

Source: theorygene23.pages.dev

Area of a Hexagon Doovi — Area of a Hexagon Doovi

Source: www.doovi.com

Diagonal of Hexagon Formula Properties Examples — Diagonal of Hexagon Formula Properties Examples

Source: www.cuemath.com

Regular Hexagon Calculator How To Find The Area Of A Hexagon In 3 Easy — Regular Hexagon Calculator How To Find The Area Of A Hexagon In 3 Easy

Source: fity.club

Regular Hexagon Calculator How To Find The Area Of A Hexagon In 3 Easy — Regular Hexagon Calculator How To Find The Area Of A Hexagon In 3 Easy

Source: fity.club

Regular Hexagon Calculator — Regular Hexagon Calculator

Source: fity.club

Regular Hexagon Calculator — Regular Hexagon Calculator

Source: fity.club

Find The Area Of A Regular Hexagon Whose Side Measure vrogue co — Find The Area Of A Regular Hexagon Whose Side Measure vrogue co

Source: www.vrogue.co

Apothem of a Hexagon Formulas and Examples Neurochispas — Apothem of a Hexagon Formulas and Examples Neurochispas

Source: en.neurochispas.com

Hexagon 6 Sides With Label vrogue co — Hexagon 6 Sides With Label vrogue co

Source: www.vrogue.co

How To Draw A Hexagon Using Graph Paper Printable Templates Free — How To Draw A Hexagon Using Graph Paper Printable Templates Free

Source: read.cholonautas.edu.pe

Can You Show Me A Picture Of A Hexagon PictureMeta — Can You Show Me A Picture Of A Hexagon PictureMeta

Source: picturemeta.blogspot.com

Hexagon Area Apothem — Hexagon Area Apothem

Source: ar.inspiredpencil.com

How To Draw A Hexagon In Square Doubleprogram — How To Draw A Hexagon In Square Doubleprogram

Source: doubleprogram.lemondebetty.com

Regular Hexagon Area Formula — Regular Hexagon Area Formula

Source: ar.inspiredpencil.com

Area of hexagon formulas examples diagrams a (formula example) 2 easy ways to calculate calculator mashup math how find the in 3 steps formula regular hexagon: curvebreakers there is mnopqr side 5 cm aman and ridhima divided it draw using compass theorygene23 doovi diagonal properties whose measure vrogue co apothem neurochispas 6 sides with label graph paper printable templates free can you show me picture picturemeta square doubleprogram

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