Circles, Arcs And Sectors
Akopọ
Circles are everywhere, from wheels and clocks to plates and coins, and the same two numbers describe all of them: the distance around the edge and the space inside. Both depend only on the radius and on the famous constant pi. Once you can find the circumference and area of a full circle, a slice of it, a sector or an arc, is just a fraction of the whole.
In this lesson you will use the circumference and area formulas, then extend them to arcs and sectors using the angle at the centre. The biggest pitfall is mixing up the radius and the diameter, since the diameter is twice the radius and using the wrong one doubles or halves your answer. This lesson makes the radius habit second nature.
Awọn Afojusun
- Carry out calculations involving the circumference and area of a circle.
- Carry out calculations involving arc length and sector area as fractions of the circumference and area of a circle, where the sector angle is a factor of 360°.
- Carry out calculations involving arc length and sector area as fractions of the circumference and area of a circle. (Extended only)
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Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Circles, Arcs And Sectors. 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.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- A circle has radius 7 cm. Using pi = 3.142, what is its circumference to 2 d.p.? A. 21.99 cm B. 43.99 cm C. 153.94 cm D. 307.88 cm Answer: B
- A circle has radius 7 cm. Using pi = 3.142, what is its area to 2 d.p.? A. 21.99 cm^2 B. 43.98 cm^2 C. 153.96 cm^2 D. 615.75 cm^2 Answer: C
- A circle has diameter 14 cm. What is its radius? A. 3.5 cm B. 7 cm C. 14 cm D. 28 cm Answer: B
- A sector of a circle of radius 7 cm has centre angle 90 degrees. What is its area to 2 d.p.? (pi = 3.142) A. 11.00 cm^2 B. 38.49 cm^2 C. 76.97 cm^2 D. 153.94 cm^2 Answer: B
- A sector of a circle of radius 7 cm has centre angle 90 degrees. What is its arc length to 2 d.p.? (pi = 3.142) A. 5.50 cm B. 11.00 cm C. 21.99 cm D. 43.98 cm Answer: B
Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà
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Awọn Iwe Itọsọna Ti a Gba Nimọran
Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
Solve Geometry Applications: Circles and Irregular Figures
Use the properties of circles
"Prealgebra: Solve Geometry Applications: Circles and Irregular Figures" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/9-5-solve-geometry-applications-circles-and-irregular-figures. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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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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