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प्रश्न
The radius of a circle is 30 cm. Find the length of an arc of this circle, if the length of the chord of the arc is 30 cm.
उत्तर
Let AB be the chord and O be the centre of the circle.
Here,
AO = BO = AB = 30 cm
Therefore,
∆ AOB is an equilateral triangle .
Now,
Radius = 30 cm
\[\theta = 60^\circ = \left( 60 \times \frac{\pi}{180} \right) = \frac{\pi}{3}\text{ radian }\]
\[ \Rightarrow \frac{\pi}{3} = \frac{\text{Arc}}{30}\]
\[ \Rightarrow \text{Arc} = \frac{30\pi}{3} = 10\pi cm\]
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