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- Each sector has radius r and central angle θ in radians.r = 6 cm, \theta = \dfrac{2\pi}{3}r = 4 cm, \theta = \dfrac{7\pi}{4}r = 9 cm, \theta = \dfrac{5\pi}{18}r = 12 cm, \theta = 2.5
- The floor of a school stage is a sector of a circle.
- A pane of stained glass is cut in the shape of a sector.
- A pizzeria sells a 12-inch pizza cut into 6 equal slices and a 16-inch pizza cut into 12 equal slices.
- Points A and B lie on a circle with center O and radius 10 cm, and the minor arc from A to B is 5π cm long.
- A car's rear windshield wiper turns about a pivot O.
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Arc length and sector area in radians: the lesson ›More Chapter 3 worksheets: Angles, radians and the unit circle
- 3.1Sine, cosine and tangent
- 3.2Trig values of the special right triangles
- 3.3Angles in standard position and coterminal angles
- 3.4Radian measure
- 3.5Arc length and sector area in radians
- 3.6Angular and linear speed
- 3.7Trig functions on the unit circle
- 3.8Sine, cosine and tangent as functions of a real number
- 3.9Reference angles
- 3.10Signs of the trig functions by quadrant
- 3.11Secant, cosecant and cotangent ratios
- 3.12Secant, cosecant and cotangent on the unit circle
- 3.13Exact values on the unit circle
- 3.14Unit circle symmetry and even-odd identities
- 3.15Periodicity and the periodicity identities