Arc Length on a Circle Test

Question 1 of 5: Find the length of each arc:

$$r=15 \hspace{.2em}\text{mi}$$ $$θ=\frac{7π}{6}$$

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$$\frac{35π}{2}\hspace{.15em}\text{mi}$$

$$15π \hspace{.15em}\text{mi}$$

$$\frac{525π}{4}\hspace{.15em}\text{mi}$$

$$\frac{13π}{2}\hspace{.15em}\text{mi}$$

$$32π \hspace{.15em}\text{mi}$$

Question 2 of 5: Find the length of each arc:

$$r=12 \hspace{.2em}\text{km}$$ $$θ=\frac{3π}{4}$$

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$$54 π \hspace{.15em}\text{km}$$

$$144 π \hspace{.15em}\text{km}$$

$$3240 π \hspace{.15em}\text{km}$$

$$9 π \hspace{.15em}\text{km}$$

$$256 π \hspace{.15em}\text{km}$$

Question 3 of 5: Find the length of each arc:

$$r=5 \hspace{.2em}\text{yd}$$ $$θ=90°$$

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$$\frac{25π}{4}\hspace{.15em}\text{yd}$$

$$\frac{2299π}{24}\hspace{.15em}\text{yd}$$

$$\frac{5π}{2}\hspace{.15em}\text{yd}$$

$$\frac{π}{2}\hspace{.15em}\text{yd}$$

$$\frac{544π}{13}\hspace{.15em}\text{yd}$$

Question 4 of 5: Find the area of each sector:

$$r=9 \hspace{.2em}\text{km}$$ $$θ=225°$$

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$$\frac{225π}{6}\hspace{.15em}\text{km}^2$$

$$\frac{405π}{8}\hspace{.15em}\text{km}^2$$

$$81π \hspace{.15em}\text{km}^2$$

$$18π \hspace{.15em}\text{km}^2$$

$$9π \hspace{.15em}\text{km}^2$$

Question 5 of 5: Find the area of each sector:

$$r=14 \hspace{.2em}\text{in}$$ $$θ=315°$$

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$$\frac{9π}{2}\hspace{.15em}\text{in}^2$$

$$138π \hspace{.15em}\text{in}^2$$

$$\frac{32π}{3}\hspace{.15em}\text{in}^2$$

$$\frac{243π}{5}\hspace{.15em}\text{in}^2$$

$$\frac{343π}{2}\hspace{.15em}\text{in}^2$$

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