hestermarvious hestermarvious
  • 06-03-2019
  • Mathematics
contestada

What is the area of a sector with measure of arc equal to 90° and radius equal to 1 foot?

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jdoe0001 jdoe0001
  • 06-03-2019

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} \theta = angle~in\\ \qquad degrees\\ r=radius\\[-0.5em] \hrulefill\\ r=1\\ \theta =90 \end{cases}\implies A=\cfrac{90\pi (1)^2}{360}\implies A=\cfrac{\pi }{4}\implies A\approx 0.79[/tex]

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