Скачать или смотреть Circle theorems | How to Solve Challenging MATHs problems and questions | Geometry Hard level

Circle theorems | How to Solve Challenging MATHs problems and questions | Geometry Hard level


This is very interesting problem dedicated to Circle Theorems : Questions and Problems.

This topic is a subtopic for Circle Geometry, so hope you are familiar with Circle properties and inscribed, exterior, central angles properties.

If you think this problem is really challenging for you try easier one dedicated to Circle theorems and angles:    • GCSE MATHs Circle theorems questions | GCS...  

GCSE MATHs Circle theorems questions | GCSE Higher MATHs 2020 Circle Problem 1 Medium level


Quick Reminder:

CIRCLE THEOREMS

A circle is the set of all points (LOCI) which are equidistant from a fixed point called the centre

The circumference is the distance or the length around the entire circle boundary.

An arc of a circle is any continuous part of the circle. A chord of a circle is a line segment joining any two points on the circle. A radius of a circle is any line segment joining its centre to any point on the circle. A diameter of a circle is any chord passing through its centre.

A semicircle is a half of a circle.

A tangent to a circle is any line which touches the circle in exactly one point.

CIRCLE THEOREMS

Tangents from an external point: Tangents from an external point are equal in length.
Radius and a tangent: The tangent to a circle is perpendicular to the radius at the point of contact (common point)

Chords of a circle: The perpendicular from the centre of a circle to a chord bisects the chord.

Angle in a semi-circle: The angle in a semicircle is a right angle.

If a circle can be drawn through four points we say that the points are concyclic and by joining them we can form a convex quadrilateral. That quadrilateral becomes a cyclic quadrilateral.

CYCLIC QUADRILATERAL THEOREMS

Opposite angles of a cyclic quadrilateral: The opposite angles of a cyclic quadrilateral supplementary, or add to 180.
Exterior angle of a cyclic quadrilateral: The exterior angle of a cyclic quadrilateral is equal to the opposite interior angle.

Optimization
gcse 2020 circle geometry, cyclic quadrilaterals GCSE higher MATHs, gcse higher maths cyclic quadrilaterals, GCSE Maths circle geometry cyclic quadrilaterals, cyclic quadrilaterals Exam Questions GCSE IGCSE, gcse maths cyclic quadrilaterals, cyclic quadrilaterals igcse extended, gcse maths hardest questions, gcse maths 2019 cyclic quadrilaterals, gcse maths 2019 cyclic quadrilaterals, gcse maths cyclic quadrilaterals past paper questions, igcse maths 2020 cyclic quadrilateral,
gcse 2020 circle geometry, GCSE higher MATHs circle theorems questions, GCSE higher MATHs circle theorems problems, gcse higher maths circle properties, GCSE Maths circle geometry circle hard questions, circle theorems Exam Questions GCSE IGCSE, gcse maths circles and properties, circle theorems igcse extended, gcse maths hardest questions, gcse maths 2019 circles, gcse maths 2019 cyclic quadrilaterals, gcse maths cyclic quadrilaterals past paper questions, igcse maths 2020 cyclic quadrilateral, gcse maths circle area, area of a circle, circumference formula
gcse 2020 circle geometry, circle theorems questions, circle theorems problems, gcse higher maths circle theorems, Harder maths questions circles, circles and angles hard questions, circles and their properties, circle theorems a level maths, national mathematics and science college entrance math exams, oxford MAT circle theorems, can you solve this problem, can U solve this problem, the national mathematics and science college math entrance exams, math questions national mathematics and science college, circle properties


#circles #circletheorem #circle_area_and_circumference