Unit 9 : Area of a Sector

Unit 9 :

Area of a Sector

By Emily Mcmullan

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Find the arc length of $\alpha=\frac{5\pi}{3}$  radians of the circle. (round to the nearest tenths)

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Convert $130^{\circ}$  to radians (round to the nearest tenth)

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Convert $\frac{7\pi}{4}$   radians to degrees

Area of a Circle​

A= π​r²

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Find the area of circle P. (Round to the nearest tenth)

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Find the Diameter of circle Z. (round to the tenth)

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Find the Radius if the Area is 201ft

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Find the Area

What happens when we double the radius?

Does the area also double?

​Before if r=5.2 then A=84.9

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So if r = 10.4, A=___?​

Sectors of a Circle

A region bounded by two radii of the circle and their intercepted arc.

Area of a Sector

​πr² θ

360

Find the area of the shaded sector

​

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Find the area of the sector made by $\angle PQR$  (round to the nearest tenth)

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Find the area of the entire circle

Poll

How are we feeling?

• This is easy

• I'm fine, silly mistakes sometimes

• I'm struggling

• I have no idea what I'm doing

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Find the measure of the central angle of a sector if its area is $5\pi$  and the radius is 6.

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How can we determine the area of this shaded section?

Don't forget the quiz review!