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Answer:
6 pi squared cm
Step-by-step explanation:
circle area = pi * 6^2 = 36 pi
so shaded area = 36 pi / 6 = 6 pi (ANS)
Step-by-step explanation:
you know, a single side cannot be longer than the other 2 sides combined.
otherwise, the triangle cannot "close".
so, it starts with 12 cannot be longer than 5 + n.
therefore, n must be at least 7.
and n cannot be longer than 5+12 = 17
7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.
so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.
that is 9 positive integer values.
Answer:
Step-by-step explanation:
we know that
The regular hexagon can be divided into six equilateral triangles
Remember that an equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is 60 degrees)
The length side of the triangle is equal to the length side of the regular hexagon
step 1
Find the length side of triangle
Let
b ----> the length side of triangle
see the attached figure to better understand the problem
In the right triangle OAN
Applying the Pythagorean Theorem
we have
----> the apothem
substitute
simplify
step 2
Find the area of the regular hexagon
Find the area of one triangle and multiply by 6
we have'
substitute