Find the incircle radius $r$ of a hexagon if long diagonal $d = 2.5 cm$ .

Answer

$1.0825 cm$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

d = 2 \cdot a

After substituting $d = 2.5 cm$ we have:

2.5 cm = 2 \cdot a

a = \frac{2.5 cm}{2}

a = 1.25 cm

STEP 2: find incircle radius $r$

To find incircle radius $r$ use formula:

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

After substituting $a = 1.25 cm$ we have:

r = \frac{3 \cdot 1.25 cm}{2}

r = \frac{2.1651 cm}{2}

r \approx 1.0825 cm

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Find the incircle radius r of a hexagon if long diagonal d=2.5cm.

1.0825cm

Find the incircle radius $r$ of a hexagon if long diagonal $d = 2.5 cm$ .

$1.0825 cm$