Find the perimeter $P$ of a hexagon if incircle radius $r = 72.8 cm$ .

Answer

$504.3732 cm$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $r = 72.8 cm$ we have:

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

3 \cdot a = 72.8 cm \cdot 2

3 \cdot a = 145.6 cm

a = \frac{145.6 cm}{3}

a \approx 84.0622 cm

STEP 2: find perimeter $P$

To find perimeter $P$ use formula:

P = 6 \cdot a

After substituting $a = 84.0622 cm$ we have:

P = 6 \cdot 84.0622 cm

P \approx 504.3732 cm

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Find the perimeter P of a hexagon if incircle radius r=72.8cm.

504.3732cm

Find the perimeter $P$ of a hexagon if incircle radius $r = 72.8 cm$ .

$504.3732 cm$