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  • 06-04-2020
  • Mathematics
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The central angle of a circle is 48 degrees. The radius is 10cm. What is the area of the sector? Round to the nearest hundredth.

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Аноним Аноним
  • 06-04-2020

[tex]area \: of \: sector \: = \frac{\theta}{360} \times {\pi \: r}^{2} [/tex]

Here,

  • [tex]\theta \: = 48\degree[/tex]
  • r = 10,
  • [tex] {r}^{2} = {10}^{2} = 100[/tex]

Area of sector =

[tex] \frac{48}{360} \times \frac{22}{7} \times 100 \: [/tex]

= 24/180 x 220/7

= 0.1 x 31.4

= 3.14

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