Math, asked by maha8153, 5 months ago

the length and breadth of a rectangular piece of paper are 28cm and 14cm.A semicircular portion is cut off from the breadth side and a semicircular portion is added on the length side

Answers

Answered by Anonymous
1

dude, ur question is incomplete

Answered by aishu0105
6

Step-by-step explanation:

length \: of \: the \: rectangular \: piece \: of \: paper \:  = 28cm \\ breadth \: of \: the \: rectangular \: piece \: of \: paper \:  = 14cm \\  \\ area \: of \: rectangular \: paper \:  a_{1} =  ({28.14}) {cm}^{2}   = 392 {cm}^{2}  \\ radius(r) \: of \: the \: removed \: semicircular \: portion \:  =    \frac{1}{2}   \pi {r}^{2}  \\  \\  =  \frac{1}{2}  \times  \frac{22}{7}  \times ( {14})^{2}  {cm}^{2}  \\  \\  =  \frac{11}{7}  \times 49 {cm}^{2}  \\  \\  = 77 {cm}^{2}  \\  \\  \\ radius \: of \: the \: semicircular \: portion \: added =  \frac{28}{2}  = 14cm \\ area  \: (a_{3}) \: of \: the \: added \: semicircular \: potion \:  =  \frac{1}{2} \pi {r}^{2}  \\  =  \frac{1}{2}  \times  \frac{22}{7}  \times(  {14})^{2}  {cm}^{2}  \\  = 308 {cm}^{2}  \\  \\ area \: of \: the \: shaded \: region \:  =  a_{1} -  a_{2} +  a_{3} \\  = (392 - 77 + 308) {cm}^{2}  \\  = 623 {cm}^{2}

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