Question

In figure,an equilateral triangle,a square a regular hexagon are put together. a)what is the measure of each polygen? b)find abc
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Answer 1

Answer:

The regular hexagon is inscribed in a circle of radius r.

So, it is inside the circle.

By joining opposite sides of hexagon, it forms 6 central angles at centre O each of which =

6

360

=60

o

.

And the six triangles are formed.

The two sides of each triangle are the radius of the circle and thus are equal., ∴ The base angles of every triangle are equal.

∵ Central angle is 60

o

⟹ Base angles =120/2=60

o

∴ The triangles are equilateral triangles.

⟹ All sides are equal.

∴ All sides of each triangle is r

Perimeter of regular hexagon =6×side=6r

Hence, option B is correct.