Circle Theorems and Angle Relationships

This video tutorial covers the GCSE maths higher topic of circle theorems. It provides an overview of the key theorems, rules, and proofs, along with downloadable revision sheets and exam-style questions. The video emphasizes the importance of understanding and applying circle theorems to solve problems, offering detailed solutions to various questions.

What is the main focus of this video tutorial?

• Probability and statistics

• Trigonometric identities

• Circle theorems

• Algebraic equations

How many main circle theorems are discussed in the video?

• Seven

• Eight

• Six

• Five

What is recommended to have in front of you when solving circle theorem questions?

• A geometry set

• A list of circle theorems

• A calculator

• A periodic table

In question 1, what is the size of angle ADC?

• 120 degrees

• 90 degrees

• 60 degrees

• 45 degrees

What is the size of angle ACB in question 1?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

In question 2, what is the size of angle APB?

• 112 degrees

• 90 degrees

• 68 degrees

• 44 degrees

In question 3, what is the angle subtended at the center if the angle at the circumference is 54 degrees?

• 216 degrees

• 162 degrees

• 108 degrees

• 54 degrees

In question 4, what is the size of angle AOC?

• 236 degrees

• 124 degrees

• 62 degrees

• 180 degrees

In question 5, what is the size of angle CDE?

• 57 degrees

• 84 degrees

• 66 degrees

• 72 degrees

In question 6, what is the relationship between angle AOC and angles X and Y?

• AOC = X - Y

• AOC = X + Y

• AOC = 2X + Y

• AOC = 2(X + Y)