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Maharashtra State BoardSSC (English Medium) 10th Standard

Find the perimeter of a sector of a circle if its measure is 90° and radius is 7 cm.

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Question

Find the perimeter of a sector of a circle if its measure is 90° and radius is 7 cm.

Options

  • 25 cm

  • 44 cm

  • 36 cm 

  • 56 cm

MCQ
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Solution

25 cm

Explanation:

Here, r = 7 cm and θ = 90º

∴ Perimeter of the sector = `θ/(360^circ) xx 2πr + 2r`

= `(90^circ)/(360^circ) xx 2 xx 22/7 xx 7 + 2 xx 7`

= 11 + 14

= 25 cm 

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Chapter 7: Mensuration - Problem set 7 [Page 160]
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