Radian Measure, Arc Length And Sector Area
Muhtasari
Radians are the natural way to measure angles in advanced mathematics, tying an angle directly to the arc it sweeps out. In radians the arc length and sector area formulas become beautifully simple.
In this lesson you will use radian measure, convert between degrees and radians, and solve problems involving the arc length and sector area of a circle.
Malengo
- Use radian measure, including converting between degrees and radians.
- Solve problems involving the arc length and the sector area of a circle, including compound shapes.
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- How many radians are in 360 degrees? A. pi B. 2pi C. 180 D. 90 Answer: B
- The arc length of a sector (radius r, angle theta radians) is: A. r theta B. (1/2) r^2 theta C. 2 pi r D. r^2 theta Answer: A
- A sector has r = 5 and theta = 1.2 rad. The arc length is: A. 6 B. 12 C. 15 D. 30 Answer: A
- A sector has r = 5 and theta = 1.2 rad. Its area is: A. 6 B. 12 C. 15 D. 30 Answer: C
- Convert 90 degrees to radians. A. pi B. pi/2 C. pi/3 D. 2pi Answer: B
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Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
Angles
Draw angles in standard position.
"Algebra and Trigonometry: Angles" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/7-1-angles. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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