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Convert the following angles into radian: 65°30′ - Mathematics and Statistics

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प्रश्न

Convert the following angles into radian:

65°30′

योग

उत्तर

We know that, 180° = πc

∴ 1° = `(pi/180)^"c"`

65°30′ = 65° + 30'

= `65 + ((30)/60)^circ     ...[because 1"'" = (1/60)^circ]`

= `65^circ + (1/2)^circ`

= `(65 + 1/2)^circ`

= `(131/2)^circ`

= `(131/2 xx pi/180)^"c"`

= `((131pi)/360)^"c"`

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Measures of Angles
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Angle and its Measurement - EXERCISE 1.1 [पृष्ठ ८]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 1 Angle and its Measurement
EXERCISE 1.1 | Q 2. (iv) | पृष्ठ ८

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