A round table has six equal designs as shown in the figure. If the radius of the cover is 28 cm. Find the cost of making the design at the rate of rupees 0.35 per cm².
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OB=OC=28cm
Area of circle =πr
2
=
7
22
×28×28
=88×28
=2464cm
2
Since, ABCDEF is a regular hexagon
∴ΔOBC is an equilateral Δ
ar(ΔOBC)=
4
3
×28×28=339.08cm
2
Area of 6 triangles =6×339.08=2034.48cm
2
Area of shaded region = Area of circle - Area of 6.
=2464−2034.48=429.52cm
2
Rate =0.35cm
2
∴ Rate =0.35×429.52=Rs.150.33
Hope it helps you.....
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