Find the long diagonal $d$ of a hexagon if incircle radius $r = 60 cm$ .

Answer

$803 cm$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $r = 60 cm$ we have:

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

3 \cdot a = 60 cm \cdot 2

3 \cdot a = 120 cm

a = \frac{120 cm}{3}

a = 403 cm

STEP 2: find diagonal $d$

To find diagonal $d$ use formula:

d = 2 \cdot a

After substituting $a = 403 cm$ we have:

d = 2 \cdot 403 cm

d = 803 cm

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Find the long diagonal d of a hexagon if incircle radius r=60cm.

803​cm

Find the long diagonal $d$ of a hexagon if incircle radius $r = 60 cm$ .

$803 cm$