Math, asked by mathewalexalex8987, 1 year ago

Area of minor sector of a circle is 3.85sq.cm and the measure of its central angle is 36° find its radius

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Answered by Akv2
116
area of sector =
  \frac{central \: angle}{360}  \times \pi {r}^{2}  \\
area of sector = 3.85 cm²
Central angle = 36°

putting the values given in the question in the above equation.
3.85 = \frac{36}{360}  \times  \frac{22}{7}  \times  {r}^{2}  \\ 3.85 =  \frac{1}{10}  \times  \frac{22}{7}  \times  {r}^{2}  \\ 3.85 =  \frac{22}{70}  \times  {r}^{2}  \\  {r}^{2}  = 3.85 \times  \frac{70}{22}  \\  {r}^{2} = 12.25 \\ r =  \sqrt{12.25}  \\ r = 3.5
radius of circle = 3.5 CM

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Answered by bhardwajdeepanjali26
1

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