Radian Measure, Arc Length And Sector Area
Akopọ
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.
Awọn Afojusun
- 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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Oriire fun ipari ẹkọ lori Radian Measure, Arc Length And Sector Area. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
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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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Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
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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