Find the area of card board wasted if a sector of maximum possible size is cut out from a square card board of size 24 cm. $[π = 3 1.4]$ .

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Solution

Area of card board waste=Area of square-Area of sector
$= (24 \times 24) - \frac{1}{4} \times \frac{22}{7} \times 24 \times 24$
$= 576 - \frac{3168}{7}$
$= \frac{4032 - 3168}{7} = \frac{864}{7} = 123.42 c m^{2}$

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Find the area of card board wasted if a sector of maximum possible size is cut out from a square card board of size 24 cm. [π=31.4].

Area of card board waste=Area of square-Area of sector=(24×24)−14×227×24×24=576−31687=4032−31687=8647=123.42cm2

Find the area of card board wasted if a sector of maximum possible size is cut out from a square card board of size 24 cm. $[π = 3 1.4]$ .

Area of card board waste=Area of square-Area of sector
$= (24 \times 24) - \frac{1}{4} \times \frac{22}{7} \times 24 \times 24$
$= 576 - \frac{3168}{7}$
$= \frac{4032 - 3168}{7} = \frac{864}{7} = 123.42 c m^{2}$