Circle Properties
Bayani Gaba-gaba
Circles have a rich set of properties that appear across both Foundation and Higher papers. At Foundation level you need to know the standard terminology and the two key chord and tangent facts. At Higher level the circle theorems link angles, arcs, and cyclic quadrilaterals in ways that produce some of the most satisfying multi-step proofs on the paper.
This topic builds on your knowledge of angles and line properties. You will learn to name every part of a circle, prove chord and tangent relationships, and (at Higher) apply the full set of circle theorems including the alternate segment theorem and intersecting chord properties.
Manufura
- Recognise the terms 'centre', 'radius', 'chord', 'diameter', 'circumference', 'tangent', 'arc', 'sector' and 'segment' of a circle
- Understand chord and tangent properties of circles
- [Higher] Understand and use the internal and external intersecting chord properties
- [Higher] Recognise the term 'cyclic quadrilateral'
- [Higher] Understand and use angle properties of the circle including: angle subtended by an arc at the centre is twice the angle subtended at any point on the remaining part of the circumference; angle subtended at the circumference by a diameter is a right angle; angles in the same segment are equal; the sum of the opposite angles of a cyclic quadrilateral is 180 degrees; the alternate segment theorem
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
Cikakken Bayanin Darasi Yana Kan Manhajar Green Bridge
Sami manhajar Green Bridge CBT a wayarka ko kwamfutarka domin cikakken laburaren IGCSE: takardun jarrabawar baya, tsarin kimantawa, taswirar tunani, katunan karatu da darussan sauti.
Nazarin Darasi
Barka da kammala darasi akan Circle Properties. 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.
- The angle between a tangent and the radius at the point of contact is: A) 45 degrees B) 60 degrees C) 90 degrees D) 180 degrees Answer: C
- A chord is 24 cm long and the radius of the circle is 13 cm. What is the perpendicular distance from the centre to the chord? A) 5 cm B) 7 cm C) 10 cm D) 12 cm Answer: A
- The angle subtended by an arc at the centre of a circle is 140 degrees. What is the angle subtended at the circumference by the same arc? A) 35 degrees B) 70 degrees C) 140 degrees D) 280 degrees Answer: B
- ABCD is a cyclic quadrilateral. Angle A = 85 degrees. What is angle C? A) 85 degrees B) 95 degrees C) 105 degrees D) 180 degrees Answer: B
- Which of the following is the region between a chord and its arc? A) Sector B) Segment C) Semicircle D) Arc 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
Wasu ƙungiyoyi ne suka wallafa su ƙarƙashin lasisin buɗe, kuma muna ambaton su yadda suka nema. Hanyoyin suna buɗe shafukansu.
Yi Aikin Tambayoyin Gwaji
Kana son yin aikin tambayoyin gwaji kan Circle Properties? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.
Sauke Manhajar Daga Google Playstore
Duk abin da kake buƙata don yin fice a JAMB, WAEC & NECO.
