Arc Length and Sector Area - Practice Set

Grade 10·24 problems·~43 min·Digital SAT Math·topic·sat-geotrig-circ-arc

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Recall / Warm-Up

What is the circumference of a circle with radius $9$ cm? Express your answer in terms of $\pi$ .

What is the area of a circle with radius $8$ inches? Express your answer in terms of $\pi$ .

A full turn is $360\degree$ . What fraction of a full turn is an angle of $60\degree$ ?

$\dfrac{1}{3}$

$\dfrac{1}{4}$

$\dfrac{1}{6}$

$\dfrac{1}{60}$

Find the arc length of a central angle of $120\degree$ in a circle of radius $9$ cm. Express your answer in terms of $\pi$ .

Find the arc length of a central angle of $\dfrac{2\pi}{3}$ radians in a circle of radius $9$ cm. Express your answer in terms of $\pi$ .

Find the area of a sector with central angle $90\degree$ and radius $8$ inches. Express your answer in terms of $\pi$ .

Find the area of a sector with central angle $\dfrac{\pi}{2}$ radians and radius $8$ inches. Express your answer in terms of $\pi$ .

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