Mathematics - Additional - 0606 CIE

The Equation Of A Circle

Gbogbo ọrọ náà

A circle is the set of points a fixed distance from a centre, and that simple idea becomes a neat equation. Once you can read a circle's centre and radius from its equation, a whole family of coordinate-geometry problems opens up.

In this lesson you will know and use the equation of a circle with centre \((a, b)\) and radius \(r\), and identify the centre and radius from a circle equation in any form.

Ebumnobi

  1. Know and use the equation of a circle with centre (a, b) and radius r, in the forms (x - a)^2 + (y - b)^2 = r^2 and x^2 + y^2 + 2gx + 2fy + c = 0.
  2. Identify the centre and radius of a circle from its equation in any form.

Akọmọ Ojú-ẹkọ

The circle equation links algebra and geometry, and is the starting point for tangents, intersections and many problems in this section.

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na The Equation Of A Circle. 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.

  1. The centre of (x - 3)^2 + (y - 2)^2 = 4 is: A. (-3, -2) B. (3, 2) C. (3, -2) D. (2, 3) Answer: B
  2. The radius of (x - 3)^2 + (y - 2)^2 = 4 is: A. 2 B. 4 C. 8 D. 16 Answer: A
  3. The standard circle equation is based on which theorem? A. factor theorem B. Pythagoras' theorem C. remainder theorem D. binomial theorem Answer: B
  4. In x^2 + y^2 + 2gx + 2fy + c = 0, the centre is: A. (g, f) B. (-g, -f) C. (2g, 2f) D. (g, -f) Answer: B
  5. The radius of (x - 1)^2 + (y + 2)^2 = 25 is: A. 5 B. 25 C. 10 D. 12.5 Answer: A

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
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Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
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Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Meecha Ajụjụ Ule Ọmarịcha

Ị chọrọ ime ajụjụ ule ọmarịcha gbasara The Equation Of A Circle? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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