Question

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

A) 686.6 square cm
B) 793.5 square cm
C) 1374.4 square cm
D) 1587.0 square cm

Answer 1

1374.4 square cm is the correct answer

Answer 2

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.