Question

A circular sector has radius $r = 5.3$ and central angle $\theta = 105^\circ$. Determine: Arclength = Area =

          A circular sector has radius $r = 5.3$ and central angle $\theta = 105^\circ$. Determine:
Arclength = 
Area =
        
A circular sector has radius r = 5.3 and central angle θ = 105^∘. Determine:
Arclength = 
Area =

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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A circular sector has radius r = 5.3 and central angle θ = 105°. Determine: Arc length = Area = A circular sector has radius r = 5.3 and central angle = 105. Determine: Arc length = Area
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Transcript

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00:01 So we have a section of a circle, and the circle has radius 5 .3, and the central angle is 40 degrees.
00:22 And then we want to know, first the arc length.
00:29 Well, the arc length is r theta, with theta in radians.
00:36 So that then is 5 .3 times 40 degrees and to convert that to radians i have to multiply by 2 pi divided by 360 degrees so this then is equal to 3 .7 and the area then is going to be well, this is the section of the circle that i want, so that is going to be 40 degrees over 360 degrees times the area of the full circle, which is then 1 ninth pi r squared...
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