Find the long diagonal $d$ of a hexagon if incircle radius $r = 0.128 cm$ .

Answer

$0.2956 cm$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $r = 0.128 cm$ we have:

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

3 \cdot a = 0.128 cm \cdot 2

3 \cdot a = 0.256 cm

a = \frac{0.256 cm}{3}

a \approx 0.1478 cm

STEP 2: find diagonal $d$

To find diagonal $d$ use formula:

d = 2 \cdot a

After substituting $a = 0.1478 cm$ we have:

d = 2 \cdot 0.1478 cm

d \approx 0.2956 cm

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Find the long diagonal d of a hexagon if incircle radius r=0.128cm.

0.2956cm

Find the long diagonal $d$ of a hexagon if incircle radius $r = 0.128 cm$ .

$0.2956 cm$