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Question

A circular arc makes an angle of 15° at the centre. If the radius of the circular arc is 14 cm, what is the perimeter (correct up to two decimal places) of the sector so formed? (π = 3.14)

The correct answer is

31.66 cm

The perimeter of the sector is the sum of the arc length and the two radii. The arc length is calculated as (θ/360) * 2πr, and the total perimeter is 31.66 cm.

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Important Questions from Mensuration

  1. The areas of three adjacent faces of a cuboidal tank are 3 m 2, 12 m 2 and 16 m 2. the capacity of the tank, in litres, is:

  2. Volume of a cuboid is 4800 cm 3. If the height of this cuboid is 20 cm, then what will be the area of the base of cuboid ?

  3. Two similar cubes have heights of 8 cm and 12 cm, respectively. If the capacity of the smaller cube is 80 cm 3, what is the capacity of the bigger cube (in cm 3)?

  4. Three circles of radius 7 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?

  5. Three circles of radius 6 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?

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