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(D) The umbrella is assumed to be a flat circle with radius $r = 56 \, cm$.Since there are $8$ equally spaced ribs,the circle is divided into $8$ equa

Vedclass · Accepted Answer

$1232$

Vedclass · Answer

(D) The umbrella is assumed to be a flat circle with radius $r = 56 \, cm$.Since there are $8$ equally spaced ribs,the circle is divided into $8$ equal sectors.The central angle $	heta$ for each sector is $\frac{360^{\circ}}{8} = 45^{\circ}$.The area between two consecutive ribs is the area of one sector,which is given by the formula:Area $= \frac{	heta}{360^{\circ}} 	imes \pi r^{2}$Area $= \frac{45^{\circ}}{360^{\circ}} 	imes \frac{22}{7} 	imes (56)^{2}$Area $= \frac{1}{8} 	imes \frac{22}{7} 	imes 56 	imes 56$Area $= \frac{1}{8} 	imes 22 	imes 8 	imes 56$Area $= 22 	imes 56 = 1232 \, cm^{2}$.

An umbrella has $8$ ribs which are equally spaced. Assuming the umbrella to be a flat circle with radius $56 \, cm$,the area between two consecutive ribs is $\ldots \ldots \ldots \, cm^{2}$.

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