Cyclic Quadrilateral - GCSE Maths Definition

Reviewed by: Dan Finlay

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A cyclic quadrilateral is a four-sided shape where all its corners, called vertices, sit on the edge of a circle. This circle is known as the "circumcircle." In a cyclic quadrilateral, one important thing to remember is that the sum of the opposite angles always adds up to 180 degrees. This means if you add the measure of two opposite angles together, they will equal 180 degrees. Learning about cyclic quadrilaterals is helpful in understanding more about geometry and how shapes work within circles.

A circle with points A, B, C and D on its circumference. The quadrilateral ABCD formed is a cyclic quadrilateral.

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Dan Finlay

Reviewer: Dan Finlay

Expertise: Maths Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

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