A circle has radius $8$ cm and a central angle measuring $\frac{3\pi }{4}$ radians. What is the exact length of the arc that angle cuts off?

A circle has radius $14$ cm and a central angle measuring $\frac{3\pi }{4}$ radians. What is the exact area of the sector?

An arc of length $14.0$ m lies on a circle of radius $7$ m. What is the measure of the central angle, in radians?

Use the figure. What is the exact length of arc AB?

A central angle measuring $2.0$ radians cuts off an arc of length $14.0$ ft. What is the radius of the circle?

A circle has radius $12$ m and a central angle measuring $\frac{2\pi }{3}$ radians. What is the exact length of the arc that angle cuts off?

A circle has radius $4$ ft and a central angle measuring $\frac{\pi }{5}$ radians. What is the exact area of the sector?

A circle has radius $8$ cm and a central angle measuring $\frac{4\pi }{3}$ radians. What is the exact length of the arc that angle cuts off?

A central angle measuring $3.0$ radians cuts off an arc of length $21.0$ inches. What is the radius of the circle?

A rotating sprinkler throws water $12$ m and sweeps through a central angle measuring $\frac{2\pi }{3}$ radians. What is the exact area of the ground it waters?

A circle has radius $10$ inches and a central angle measuring $\frac{\pi }{2}$ radians. What is the exact area of the sector?

A circle has radius $6$ inches and a central angle measuring $\frac{3\pi }{4}$ radians. What is the exact length of the arc that angle cuts off?

Use the figure. What is the exact area of the shaded sector?

An arc of length $36.0$ m lies on a circle of radius $12$ m. What is the measure of the central angle, in radians?

A circle has radius $6$ ft and a central angle measuring $\frac{7\pi }{4}$ radians. What is the exact length of the arc that angle cuts off?

A circle has radius $6$ cm and a central angle measuring $\frac{3\pi }{2}$ radians. What is the exact area of the sector?

Use the figure. What is the exact area of the shaded sector?

A circle has radius $8$ ft and a central angle measuring $\frac{\pi }{2}$ radians. What is the exact area of the sector?

Use the figure. What is the exact area of the shaded sector?

A lighthouse beam reaches $20$ m and sweeps a central angle measuring $\frac{7\pi }{6}$ radians. What is the exact area of the water it lights?

A circle has radius $4$ ft and a central angle measuring $\frac{2\pi }{5}$ radians. What is the exact area of the sector?

A circle has radius $6$ inches and a central angle measuring $\frac{\pi }{3}$ radians. What is the exact length of the arc that angle cuts off?

A circle has radius $4$ inches and a central angle measuring $\frac{\pi }{6}$ radians. What is the exact length of the arc that angle cuts off?

An arc of length $48.0$ inches lies on a circle of radius $16$ inches. What is the measure of the central angle, in radians?

A circle has radius $8$ ft and a central angle measuring $\frac{2\pi }{3}$ radians. What is the exact area of the sector?

A radar dish scans out to $8$ m through a central angle measuring $\frac{\pi }{4}$ radians. What is the exact area of the region it scans?

A radar dish scans out to $20$ m through a central angle measuring $\frac{7\pi }{6}$ radians. What is the exact length of the curved outer edge of the region it scans?

A central angle measuring $2.5$ radians cuts off an arc of length $50.0$ ft. What is the radius of the circle?

Use the figure. What is the exact area of the shaded sector?

A rotating sprinkler throws water $20$ m and sweeps through a central angle measuring $\frac{2\pi }{3}$ radians. What is the exact area of the ground it waters?