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A sector of a circle of radius 10.5 cm subtends an angle of 45° at the centre of the circle as in adjoining figure. Find the perimeter of sector.
  • a)
    37.25 cm
  • b)
    36 cm
  • c)
    21.25 cm
  • d)
    29.25 cm
Correct answer is option 'D'. Can you explain this answer?

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Answers

Environment Lover
Feb 27, 2019
Related A sector of a circle of radius 10.5 cm subtends an angle of 45° at the centre of the circle as in adjoining figure. Find the perimeter of sector.a)37.25 cmb)36 cmc)21.25 cmd)29.25 cmCorrect answer is option 'D'. Can you explain this answer?

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Nagita Sindhard
Jan 04, 2019
Perimeter of sector=2×radius+length of arc. and length of arc=theta÷360×2

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Moshim Kapoor
Feb 27, 2019
Related A sector of a circle of radius 10.5 cm subtends an angle of 45° at the centre of the circle as in adjoining figure. Find the perimeter of sector.a)37.25 cmb)36 cmc)21.25 cmd)29.25 cmCorrect answer is option 'D'. Can you explain this answer?
Perimeter of sector =2r + length of the Arc.
length of arc= angle /360×2πr
=45/360×2×22/7×10.5
=1/8×2×22×1.5
=66/8
=8.25
perimeter of sector=8.25+21
=29.25

Pardeep Singh
Jan 04, 2019
Perimeter of sector =2r+l
L=length of arc
length of arc=theta/360*2πr
=45/360*2*22/7*105/10
=8.25
area of sector= 2(10.5)+8.25
=29.25cm

Question Description
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