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Area of a Sector of a Circle of Radius 15 Cm is 30 Cm2 . Find the Length of the Arc of the Sector. - Geometry Mathematics 2

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प्रश्न

Area of a sector of a circle of radius 15 cm is 30 cm2 . Find the length of the arc of the sector.

योग

उत्तर

The radius of the sector, r = 15 cm
Area of the sector = 30 cm
∴ Length of the arc = \[\frac{2 \times \text{ Area of the sector} }{\text{ Radius of the sector} }\]  \[= \frac{2 \times 30}{15}\]  = 4 cm          (Area of the sector =  \[\frac{1}{2}\] × Length of the arc × Radius)
Thus, the length of the arc of the sector is 4 cm.

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Length of an Arc
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अध्याय 7: Mensuration - Practice set 7.3 [पृष्ठ १५४]

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बालभारती Geometry (Mathematics 2) [English] 10 Standard SSC Maharashtra State Board
अध्याय 7 Mensuration
Practice set 7.3 | Q 5 | पृष्ठ १५४

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