Circles, Arcs And Sectors
Gbogbo ọrọ náà
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.
Ebumnobi
- 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)
Nkuzi Olu
Gee ntị na nkuzi a na ngwa
Maapụ uche
E seela isiokwu a ka ị hụ otu echiche si ejikọta.
Mepee maapụ uche na ngwa
Kaadị ncheta
Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.
Mee omume kaadị ndị a na ngwa
Akwụkwọ Ọmụmụ
Ndetu Nkuzi Zuru Ezu di na Ngwa Green Bridge
Nweta ngwa Green Bridge CBT na ekwenti gi ma o bu kompiuta maka ulo akwukwo IGCSE zuru oke: akwukwo ule ndi gara aga, usoro nyocha, eserese uche, kaadi omumu na nkuzi olu.
Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Circles, Arcs And Sectors. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- 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
Rue ajuju ndi a n'ime ngwa ahu
Rue ajuju ndi a n'ime ngwa ahu
Akwụkwọ A Na-atụ Aro
Mụtakwuo ihe site na isi mmalite mepere emepe
-
Akụkụ akwụkwọ
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
-
Akụkụ akwụkwọ
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
Ndị otu ndị ọzọ bipụtara ha n'okpuru ikike mepere emepe, anyị na-ekele ha dị ka ha si chọọ. Njikọ na-emepe saịtị ha.
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Circles, Arcs And Sectors? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
Budata Ngwa Ahụ Na Google Playstore
Ihe nile ichoro iji nwee ihe ịga nke ọma na JAMB, WAEC & NECO.
