Find the perimeter $P$ of a hexagon if incircle radius $r = 10 cm$ .

Answer

$403 cm$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $r = 10 cm$ we have:

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

3 \cdot a = 10 cm \cdot 2

3 \cdot a = 20 cm

a = \frac{20 cm}{3}

a = \frac{20 3}{3} cm

STEP 2: find perimeter $P$

To find perimeter $P$ use formula:

P = 6 \cdot a

After substituting $a = \frac{20 3}{3} cm$ we have:

P = 6 \cdot \frac{20 3}{3} cm

P = 403 cm

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Find the perimeter P of a hexagon if incircle radius r=10cm.

403​cm

Find the perimeter $P$ of a hexagon if incircle radius $r = 10 cm$ .

$403 cm$