Question

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).​

Answer 1

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.