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A sector is cut from a circle of radius 21 cm. The angle of the sector is 150°. Find the length of the arc and the area of the sector. - Mathematics

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प्रश्न

A sector is cut from a circle of radius 21 cm. The angle of the sector is 150°. Find the length of the arc and the area of the sector.

योग

उत्तर

Given:
Radius = 2 cm
Angle of sector = 150°

Now,

Length of the arc`= (2pi"r"theta)/360`

`=(2xx22/7xx21xx150)/360`

= 55 cm

Area of the sector `= (pi"r"^2theta)/360`

`= 22/7xx21xx21xx150/360`

= 577.5 cm

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अध्याय 18: Area of Circle, Sector and Segment - Exercise 18A [पृष्ठ ८३१]

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 18 Area of Circle, Sector and Segment
Exercise 18A | Q 11 | पृष्ठ ८३१

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