मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

In the Given Figure, the Radius of the Circle is 7 Cm and M ( Arc Mbn) = 60°, Find A(O - Mcn).

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प्रश्न

In the given figure, the radius of the circle is 7 cm and m ( arc MBN) = 60°,
find  A(O - MCN). 
बेरीज
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उत्तर

Radius of the circle, r = 7 cm
m(arc MBN) = ∠MON = θ = 60º

Area of Sector `= theta/360^\circ xx pir^2`

`60/360 xx pixx7^2`

`1/6 xx pixx49`

`=(49pi)/6 cm^2`

`(49xx22)/(6xx7)`

`1078/42`

≈ 25.67 cm2

Since angle ∠MON = 60 and OM = ON = radius = 7 cm

`Area = 1/2 r^2 sin(theta)`

`1/2 xx 7xx7xxsin(60^\circ)`

`=49/2xxsqrt3/2`

`=(49sqrt3)/4`

`= (49xx1.732)/4`

`=84.868/4`

≈ 21.22 cm2

= Area of Sector OMN − Area of Triangle OMN

= 25.67 − 21.22

= 4.45 cm2​

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पाठ 7: Mensuration - Practice set 7.3 [पृष्ठ १५४]

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बालभारती Geometry Mathematics 2 [English] Standard 10 Maharashtra State Board
पाठ 7 Mensuration
Practice set 7.3 | Q 6.3 | पृष्ठ १५४

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