Find the incircle radius $r$ of a hexagon if long diagonal $d = 4 cm$ .

Answer

$3 cm$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

d = 2 \cdot a

After substituting $d = 4 cm$ we have:

4 cm = 2 \cdot a

a = \frac{4 cm}{2}

a = 2 cm

STEP 2: find incircle radius $r$

To find incircle radius $r$ use formula:

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

After substituting $a = 2 cm$ we have:

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

r = \frac{2 3 cm}{2}

r = 3 cm

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Find the incircle radius r of a hexagon if long diagonal d=4cm.

3​cm

Find the incircle radius $r$ of a hexagon if long diagonal $d = 4 cm$ .

$3 cm$