Find the long diagonal $d$ of a hexagon if incircle radius $r = 42.5 cm$ .

Answer

$98.1495 cm$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

r = \frac{3 \cdot a}{2}

After substituting $r = 42.5 cm$ we have:

42.5 cm = \frac{3 \cdot a}{2}

3 \cdot a = 42.5 cm \cdot 2

3 \cdot a = 85 cm

a = \frac{85 cm}{3}

a \approx 49.0748 cm

STEP 2: find diagonal $d$

To find diagonal $d$ use formula:

d = 2 \cdot a

After substituting $a = 49.0748 cm$ we have:

d = 2 \cdot 49.0748 cm

d \approx 98.1495 cm

This page was created using

Hexagon Calculator

About the Author

Welcome to MathPortal. This website's owner is mathematician Miloš Petrović. I designed this website and wrote all the calculators, lessons, and formulas.

If you want to contact me, probably have some questions, write me using the contact form or email me on mathhelp@mathportal.org.

Send Me A Comment

Main Navigation

Online Math Calculators

Find the long diagonal d of a hexagon if incircle radius r=42.5cm.

98.1495cm

Find the long diagonal $d$ of a hexagon if incircle radius $r = 42.5 cm$ .

$98.1495 cm$