Question

A hexagon has a radius measuring 23 cm. What is the approximate area of the hexagon? 686. 6 square cm 793. 5 square cm 1374. 4 square cm 1587. 0 square cm.

Answer 1

The area of the hexagon is 1374.4 square cm.

Given that

A hexagon has a radius measuring 23 cm.

We have to determine

What is the approximate area of the hexagon?

According to the question

A hexagon has a radius measuring 23 cm.

A polygon having six sides and six angles are called a Hexagon.

Regular hexagons have six equal sides and six angles and are composed of six equilateral triangles.

$\rm Area = \dfrac{3\sqrt{3}}{2}s^2$

Where, s is the radius of the hexagon.

Then,

The area of the hexagon is,

$\rm Area = \dfrac{3\sqrt{3}}{2}s^2\\ \\ \rm Area = \dfrac{3\sqrt{3}}{2}(23)^2\\ \\ \rm Area = \dfrac{3\sqrt{3}}{2} \times 529\\ \\ \rm Area = 3\sqrt{3}} \times 264.5\\ \\ Area = 5.19 \times 264.5\\ \\ Area = 1374. 4 \ square \ cm$

Hence, The area of the hexagon is 1374.4 square cm.

To know more about Hexagon click the link given below.

brainly.com/question/10153699