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Equations of a Circle – GCSE Maths Exam Questions (higher tier only)

GCSE Maths Equations of a Circle exam question practice solutions from past papers and practice papers. This video is suitable for Higher tier only.

Keywords: equation, equation of a circle, tangent, radius, diameter, curves, graphs, functions, chord, area, circumference, coordinates

Question list:
0:00:58 Find radius from equation of a circle
0:01:30 Find radius from equation of a circle
0:02:01 Find diameter from equation of a circle
0:03:38 Find diameter from equation of a circle
0:04:41 Find equation of a circle from a sketch of its graph
0:05:25 Find equation of a circle from its diameter
0:05:56 Does a given point lie on a circle with given equation
0:07:06 Properties of a circle with given equation
0:08:29 Find equation of a circle given a point on the circumference
0:12:19 Find radius/centre from equation of a circle
0:13:11 Find end coordinates of a chord of a circle
0:17:12 Find equation of a circle given a point on the circumference
0:19:14 Find gradient of tangent of circle at a given point on the circumference
0:22:40 Find equation of a tangent of circle at a given point on the circumference
0:26:08 Find equation of a tangent of circle from the x-coordinate of its point of contact
0:33:35 Find if a given point lies inside a given circle
0:36:40 Find the area of a triangle comprising an axis, a radius and a tangent to a circle
0:45:22 Find the angle in a non-rightangled triangle whose points lie on the circumference of two circles

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The exam practice paper sets featured in this series of videos are owned and produced by http://www.ocr.org.uk and https://aqa.org.uk. I am using them here for instructional purposes.

The solutions to these practice papers are my own and have not been provided or approved by OCR or AQA. There may be other methods of solution possible than the ones I have shown here.
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Mr Tompkins is a qualified teacher with 20+ years classroom experience. BSc (Hons) Mathematics, Post Graduate Certificate in Education, Certified Apple Teacher, Microsoft Certified Educator, and Microsoft Innovative Educator Expert. MrTompkinsEdTech is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for sites to earn advertising fees by advertising and linking to Amazon.com.

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