Circles, Arcs And Sectors
Bayani Gaba-gaba
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.
Manufura
- 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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Nazarin Darasi
Barka da kammala darasi akan Circles, Arcs And Sectors. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- 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
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
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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Sashen littafi
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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