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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

ConceptLength of an Arc

#### Question

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

#### Solution

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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#### APPEARS IN

Balbharati Solution for Balbharati Class 10 Mathematics 2 Geometry (2018 to Current)
Chapter 7: Mensuration
Practice set 7.3 | Q: 5 | Page no. 154
Solution Area of a Sector of a Circle of Radius 15 Cm is 30 Cm2 . Find the Length of the Arc of the Sector. Concept: Length of an Arc.
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