Question

find the area of regular hexagon if inscribed in a circle of radius 14 cm..
plz ans..
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Answer 1

Answer:

Explanation:

Ashaded=Acircle−Ahexagon

Acircle=πr2

=π⋅182

=324π

We can split up the hexagon into 6 regular triangles.

Ahexagon=6⋅Atriangle

=6⋅12bh

Since the triangles are regular, the base is equal to the radius, 18. We can represent the height by taking one of the triangles and drawing a line down the middle. The newly formed triangle is

In this case, a=182=9, so h=a√3=9√3. We can substitute these values into the formula.

=6⋅12⋅18⋅9√3

=486√3

So, Acircle=324π and Ahexagon=486√3.

Ashaded=Acircle−Ahexagon

=324π−486√3

=176.1 units2

Answer 2

Hlw sister

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