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Math 12 Advanced
Circle Geometry – Angles and Arcs Two
Solve for the indicated variables. Centre of circle marked with a C unless otherwise stated. Make sure
you can give reasons for your answers.
1.
2. Find the measure of each of the variables indicated – give reasons for your answers. ( for center)
a) All angles and arcs.
b) x, y and z
c) x, arc AB
A
50
50
x + 20
x
B

C
y
D
x
x
yy
C

x
50
z
A
B
3. P, Q, R and S are points on a circle (in order) such that PSR = 70, PQS = 60 and QPS = 75.
Sketch and determine the measure of: a) PRS b) PRQ c) QRS d) arcs PQ, QR, RS and SP
4. An inscribed angle measures 80 and is subtended by a chord 6 cm in length. Determine the
measure of the radius of the circle? (I love to throw in a little trig)
5. In the diagram provided EF // GH, prove EMF and GMH are isosceles.
E
F
M
M
G
H