In a circle,the length of a minor arc is 110 | vedclass

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(B) The formula for the length of an arc is $l = \frac{\pi r 	heta}{180^{\circ}}$,where $l$ is the arc length,$r$ is the radius,and $	heta$ is the c

Vedclass · Accepted Answer

$42$

Vedclass · Answer

(B) The formula for the length of an arc is $l = \frac{\pi r 	heta}{180^{\circ}}$,where $l$ is the arc length,$r$ is the radius,and $	heta$ is the central angle in degrees.Given: $l = 110 \,cm$ and $	heta = 150^{\circ}$.Substituting the values into the formula:$110 = \frac{22}{7} 	imes \frac{r 	imes 150}{180}$$110 = \frac{22}{7} 	imes \frac{r 	imes 5}{6}$$110 = \frac{110 	imes r}{42}$$r = \frac{110 	imes 42}{110}$$r = 42 \,cm$Therefore,the radius of the circle is $42 \,cm$.

In a circle,the length of a minor arc is $110 \,cm$ and it subtends an angle of measure $150^{\circ}$ at the centre. Then,the radius of the circle is $\ldots \ldots \ldots \ldots \,cm$.

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