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38. In the given figure, find the area and perimeter of the shaded region, wheresemi-circles on diameters AC,BC,AB respectivelyין |
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Answer» [FIGURE IS IN THE ATTACHMENT] Given: Diameter of SEMICIRCLE AEB= 2.8 cm RADIUS OF SEMICIRCLE(AEB)= 2.8/2= 1.4 cm Diameter of semicircle BFC=1.4 cm RADIUS OF SEMICIRCLE(BFC)= 1.4/2= 0.7 cm Diameter of semicircle ADC= 2.8+1.4 = 4.2 cm RADIUS OF SEMICIRCLE(ADC) = 4.2/2= 2.1 cm. Perimeter of the SHADED region= sum of the arc of semicircle AEB, BFC and ADC= [π×1.4) +(π×0.7)+(π×2.1)] cm = π(1.4+0.7+2.1) cm =( 22/7) ×4.2 = 22× .6 = 13.2 cm Hence, the perimeter of the shaded region is 13.2 cm |
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