Question

A RECTANGLE OF LENGTH AND BREADTH 40 CM AND 26 CM IS RESHAPED INTO A CIRCLE BY A THIN WIRE FIND RADIUS AND DIAMETER OF THE CIRCLE .(HINT:PERIMETER OF RECTANGLE = CIRCUMFERENCE OF CIRCLE)

Answer 1

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$$\begin{gathered} Perimeterofrec\tan gle=2(l+b)=2\left(40+26\right)cm=132cm \\ Sincerec\tan gleisreshapedintowire \\ So,perimeterofrec\tan gle=Perimeterofcircle \\ \Rightarrow 132=2\mathrm{\pi r} \\ \Rightarrow 66\times \frac{7}{22}=\mathrm{r} \\ \Rightarrow \mathrm{r}=21 \\ \mathrm{So},\mathrm{radius}\mathrm{of}\mathrm{circle}=21\mathrm{cm} \\ \mathrm{and}\mathrm{diameter}\mathrm{of}\mathrm{circle}=2\mathrm{r}=2\times 21=42\mathrm{cm} \end{gathered}$$
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