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A hexagon has a radius measuring 23 cm. What is the approximate area of the hexagon?

A686.6 square cm
B793.5 square cm
C1374.4 square cm
D1587.0 square cm

Verified Answer :

1374.4 square cm is the correct answer

Answer:

Option (c) is correct.

Approximate area of the given hexagon is 1374.4 square cm.

Step-by-step explanation:

Given : A hexagon has a radius measuring 23 cm.

We have to find  the approximate area of the hexagon.

Since, The formula for surface area of hexagon is given as,

\(A=\frac{3\sqrt{3} }{2}a^2\)

where, a is radius of hexagon

here, a = 23 cm

So, Area is given by

\(A=\frac{3\sqrt{3} }{2}\cdot(23)^2\)

Simplify, we have,

\(A=1374.38\)

Thus, Approximate area of the given hexagon is 1374.4 square cm.