Question

Round table cover has six equal designs as shown in the given figure If the radius of the cover is 28cm find the cost of making the designs at the rate of rupee 0.35 per cm square. ( use √3=1.7)

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Answer 1

Answer:

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Sum of all angles of triangle = 180°

∠A + ∠B + ∠O = 180°

⇒ 2 ∠A = 180° - 60°

⇒ ∠A = 120°/2

⇒ ∠A = 60°

Triangle is equilateral as ∠A = ∠B = ∠C = 60°

Area of equilateral ΔAOB = √3/4 × (OA)2 = √3/4 × 282 = 333.2 cm2

Area of sector ACB = (60°/360°) × π r2 cm2

                                           = 1/6 × 22/7 × 28 × 28 = 410.66 cm2

Area of design = Area of sector ACB - Area of equilateral ΔAOB

                       = 410.66 cm2 - 333.2 cm2 = 77.46 cm2

Area of 6 design = 6 × 77.46 cm2 = 464.76 cm2

Total cost of making design = 464.76 cm2 × ₹ 0.35 per cm2 = ₹ 162.66  

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