Find the area $A$ of a square if circumcircle radius $R = 82 cm$ .

Answer

$256 cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

R = \frac{2 \cdot a}{2}

After substituting $R = 82 cm$ we have:

82 cm = \frac{2 \cdot a}{2}

2 \cdot a = 82 cm \cdot 2

2 \cdot a = 162 cm

a = \frac{16 2 cm}{2}

a = 16 cm

STEP 2: find area $A$

To find area $A$ use formula:

A = a^{2}

After substituting $a = 16 cm$ we have:

A = (16 cm)^{2}

A = 256 cm^{2}

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Find the area A of a square if circumcircle radius R=82​cm.

256cm2

Find the area $A$ of a square if circumcircle radius $R = 82 cm$ .

$256 cm^{2}$