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Question

Mathematics Question on Circles

If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take π\pi = 227\frac{22}{7} )

Answer

Circumference = 2πr2\pi r = 154  m154\; m

2×27×r2\times\frac{2}{7}\times r = 154154

rr = 154×744=492=24.5  m154\times \frac{7}{44}=\frac{49}{2}=24.5\;m

Area = πr2\pi r^2

= 227×r2\frac{22}{7}\times r^2

= 227×492×492\frac{22}{7}\times \frac{49}{2}\times \frac{49}{2}

= 1886.5  m21886.5\;m^2