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This exercise involves the formula for the area of a circular sector.

Find the area A of the sector shown in each figure.

 Oct 29, 2020
edited by Cdortch  Oct 29, 2020
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This isn't as much calculus as it is geometry, but I'll explain here.

 

Areas of sectors are in general the area of the circle times the proportion of the circle you are measuring the area of.

 

For question (a), given a radius of 7 (72 being 49), it would be \(49\pi\times\frac{71^\circ}{360^\circ}\), or 49pi*71/360 ≈ 30.360002338441363

 

For question (b), given a radius of 10 (102 being 100), it would be \(100\pi\times\frac{0.3\text{ rad}}{2\pi\text{ rad}}\), or 100pi*0.3/(2pi) = 15.

 

Hope I managed to get the answer to you in time :)

 Oct 29, 2020

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