In the diagram, O is the centre of the circle. A, B and C are points on the circumference of the circle. Chords AC and BC and radii AO, BO and CO are drawn. A =x and B =y. 12 B. 201.1 Determine the size of O, in terms of x. Hence, prove the theorem that states that the angle subtended by an arc at the centre is equal to twice the angle subtended by the same arc at the circumference, that is AOB = 2AĈB. 201.2
In the diagram, O is the centre of the circle. A, B and C are points on the circumference of the circle. Chords AC and BC and radii AO, BO and CO are drawn. A =x and B =y. 12 B. 201.1 Determine the size of O, in terms of x. Hence, prove the theorem that states that the angle subtended by an arc at the centre is equal to twice the angle subtended by the same arc at the circumference, that is AOB = 2AĈB. 201.2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 3E
Related questions
Question
![QUESTIONA2.
12.1 In the diagram, O is the centre of the circle. A, B and C are points on the
circumference of the circle. Chords AC and BC and radii AO, B0 and CO are
drawn. Â =x and B=y.
%3D
C
2.
B.
201.1
Determine the size of Ö, in terms of x.
Hence, prove the theorem that states that the angle subtended by an arc
at the centre is equal to twice the angle subtended by the same arc at
the circumference, that is AOB = 2ACB.
20.1.2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f57b0f1-9ffd-4c2c-9954-594e4e9826ea%2F32cb02ab-36a2-40f2-a383-dd3376381068%2Fatdhem_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTIONA2.
12.1 In the diagram, O is the centre of the circle. A, B and C are points on the
circumference of the circle. Chords AC and BC and radii AO, B0 and CO are
drawn. Â =x and B=y.
%3D
C
2.
B.
201.1
Determine the size of Ö, in terms of x.
Hence, prove the theorem that states that the angle subtended by an arc
at the centre is equal to twice the angle subtended by the same arc at
the circumference, that is AOB = 2ACB.
20.1.2
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