A round table cover has six equal designs as shown in the figure. If the radius of thecover is 28 cm, then the cost of making the design at the rate of Rs. 0.35 per cm2 is:

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A round table cover has six equal designs as shown in the figure. If the radius of thecover is 28 cm, then the cost of making the design at the rate of Rs. 0.35 per cm2 is:

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(A) Rs.146.50
(B) Rs.148.75
(C) Rs.152.25
(D) Rs.154.75

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Class 10 Maths Priyanka QNA 3 years 2021-12-28T13:48:17+00:00 2021-12-28T13:48:17+00:00 1 Answer 8 views Enlightened 0

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Priyanka QNA Enlightened · Answer 1 · 2021-12-28T13:48:59+00:00

Answer: (B)
Explanation: The area of the
hexagon will be equal to six
equilateral triangles with each side
equal to the radius of circle.
Area of given hexagon = Area of 6
equilateral triangles

= 6 X (√3/4) X (side)2
= 6 X (√3/4) X (28)2
= 1999.2 cm2

(Taking √3 = 1.7)
Area of circle = πr2
= π × 282
= 2464 cm2
So, area of designed portion = 2464
– 1999.2 = 464.8 cm2
Cost of making design = 464.8 ×
0.35
= Rs. 162.68

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A round table cover has six equal designs as shown in the figure. If the radius of thecover is 28 cm, then the cost of making the design at the rate of Rs. 0.35 per cm2 is: