The area of a circle is 154 , cm^{2}. The len | vedclass

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(B) The area of the circle is given by $A = \pi r^{2} = 154 \, cm^{2}$.Given $\pi = \frac{22}{7}$,we have $\frac{22}{7} 	imes r^{2} = 154$.$r^{2} = \

Vedclass · Accepted Answer

$5.5$

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(B) The area of the circle is given by $A = \pi r^{2} = 154 \, cm^{2}$.Given $\pi = \frac{22}{7}$,we have $\frac{22}{7} 	imes r^{2} = 154$.$r^{2} = \frac{154 	imes 7}{22} = 7 	imes 7 = 49$.Thus,the radius $r = 7 \, cm$.The circumference of the circle is $C = 2 \pi r = 2 	imes \frac{22}{7} 	imes 7 = 44 \, cm$.The length of an arc that subtends an angle $	heta = 45^{\circ}$ at the centre is given by the formula $L = \frac{	heta}{360^{\circ}} 	imes 2 \pi r$.$L = \frac{45}{360} 	imes 44 = \frac{1}{8} 	imes 44 = 5.5 \, cm$.

The area of a circle is $154 \, cm^{2}$. The length of an arc of the circle which subtends an angle of $45^{\circ}$ at the centre is......$cm$.

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