Question

Three semicircle each of diameter 3cm. a circle of diameter 4.5cm and a semicircle of radius 4.5cm are drawn in a given figure.find the area of the shaded region.​

Answer 1

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Area of big semicircle =21πr2=2π×(4.5)2

Area of one small semicircle =2π×(1015)2 

Area of the given figure =2π[10045×45+10015×15]=445πcm2

Area of circle =π×(1045)2 

Area of the shaded region = Area of a given figure - Area of circle −2× Area of small semicircles

                                              =445π−10045×45π−2×2π(10015×15)

                                              =10045π×[1125−45−5]

                                              =100×745×22

Area of big semicircle =21πr2=2π×(4.5)2

Area of one small semicircle =2π×(1015)2 

Area of the given figure =2π[10045×45+10015×15]=445πcm2

Area of circle =π×(1045)2 

Area of the shaded region = Area of a given figure - Area of circle −2× Area of small semicircles

                                              =445π−10045×45π−2×2π(10015×15)

                                              =10045π×[1125−45−5]

                                              =100×745×22