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anonymous
 one year ago
In a circle of radius 10 cm, a sector has an area of 40pi sq. cm. What is the degree measure of the arc of the sector?
a) 72°
b) 144°
c) 180°
anonymous
 one year ago
In a circle of radius 10 cm, a sector has an area of 40pi sq. cm. What is the degree measure of the arc of the sector? a) 72° b) 144° c) 180°

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0total area of the circle is \(\pi r^2\) which in your case is \(\pi\times 10^2=100\pi\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the sector has area \(40\pi\) and \(\frac{40\pi}{100\pi}=\frac{4}{10}\) in other words the area of the sector is four tenths of the total area

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the entire circle has \(360^\circ\) to find your portion, compute \[\frac{4}{10}\times 360\] or \[.4\times 360\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's 144. But why not multiply it by 180 though?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this is a different knd of problem than the last one we are not converting from degrees to radians or anything just computing a ratio

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{40\pi}{100\pi}=\frac{x}{360}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright I understand

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0k lets knock em ouit
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