In a round table of diameter 112 cm, there is a portion in the form of a regular hexagon
inscribed in it. Designs are made on the remaining portion of the table top at the rate of
8 per 15 cm. Find the cost of designing (use 13 = 1.73).
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Answer:
Step-by-step explanation:
A
shaded
=
A
circle
−
A
hexagon
A
circle
=
π
r
2
=
π
⋅
18
2
=
324
π
We can split up the hexagon into 6 regular triangles.
A
hexagon
=
6
⋅
A
triangle
=
6
⋅
1
2
b
h
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 a
30
°
−
60
°
−
90
°
right triangle.
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