Question

13. A round table cover has six equal designs as shown in Fig 12.14. Ifthe radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs 0.35 per cm². (Use V5 = 1.7)​

Answer 1

Answer:

Step-by-step explanation:

OB=OC=28cm

Area of circle =πr^2 = 22/7  ×28  ×  28

= 88 × 28

=2464cm^2

Since, ABCDEF is a regular hexagon  

∴ΔOBC is an equilateral Δ

ar(ΔOBC)=   $\sqrt{3$/4  ×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

 

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Answer 2

Answer :

6 [ 60/360 × 22/7 × 28 × 28 - 28 × 28 × √3/4 ]

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