The Equation Of A Circle
Bayani Gaba-gaba
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.
Manufura
- 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.
- Identify the centre and radius of a circle from its equation in any form.
Darasin Sauti
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Taswirar tunani
An zana wannan batu don ka ga yadda ra'ayoyi ke hadewa.
Bude taswirar tunani a cikin manhaja
Katunan tunawa
Gwaji mai sauri kan abin da ake jarraba a wannan batu.
Yi atisayen wadannan katuna a cikin manhaja
Takardar Darasi
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Nazarin Darasi
Barka da kammala darasi akan The Equation Of A Circle. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, 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.
- 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
- The radius of (x - 3)^2 + (y - 2)^2 = 4 is: A. 2 B. 4 C. 8 D. 16 Answer: A
- The standard circle equation is based on which theorem? A. factor theorem B. Pythagoras' theorem C. remainder theorem D. binomial theorem Answer: B
- 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
- The radius of (x - 1)^2 + (y + 2)^2 = 25 is: A. 5 B. 25 C. 10 D. 12.5 Answer: A
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
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Yi Aikin Tambayoyin Gwaji
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