Circle Properties Activity 3

Author:: Thomas Yeo

Topic:: Circle

Instructions: In the diagram below, OA and OC are radii of the circle. AB and BC are chords in the circle. Angles AOC and ABC are subtended by the arc AC. Move points A, B and C around such that the values of the angles change.

What do you observe?

Select all that apply

A
Angle AOC = Angle ABC
B
Angle AOC = 2 (Angle ABC)
C
Angle AOC = 3 (Angle ABC)
D
Angle AOC = 4 (Angle ABC)

Check my answer (3)

What can you conclude?

Select all that apply

A
The angle at the centre is the same as the angle at the circumference
B
The angle at the centre is twice the angle at the circumference
C
The angle at the centre is half the angle at the circumference.

Check my answer (3)

New Resources

Droste effect
Open Middle Logarithm Exercises (1)
Divisible Polynomials - Remainder and Factor Theorems
Graphing Logarithmic Functions
bearing HK

Discover Resources

Malfatti's Packing Problem
Inscribed Triangle
start, create a 135 degree angle
Greece_OLympus_Game
timari circles

Discover Topics

Differential Equation
Parallelogram
Matrices
Probability
Linear Functions