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Circle Theorems: Angle at Center Twice the Angle at Circumference worksheet

Suitable for Year groups: 9, 10
GCSE Tier:
Higher
Targeting grades: 6-7
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Prerequisite knowledge: Angle notation within circles. Angles in a triangle and on a straight line.
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Circle Theorems: Angle at Center Twice the Angle at Circumference worksheet description

This worksheet on circle theorems is divided into several sections, which progress in difficulty, offering students an opportunity to practice, understand, and apply the theorem in increasingly challenging situations.

In Section A, students explore isosceles triangles inscribed within a circle. They are tasked with calculating the sizes of missing angles, and observing relationships between angles.

Section B introduces diagrams where students will apply the theorem directly to solve for unknowns.

Section C focuses on more complex diagrams meaning your students will tackle problems that involve combining their knowledge of circle theorems with other geometric properties.

The final problems involve the use of other circle theorems and forming and solving equations in order to find the size of the missing angles.

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