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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.
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उत्तर
The radius of the sector, r = 15 cm
Area of the sector = 30 cm2
∴ 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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