Circle Theorems Practice

P, Q and R are points on the circumference of a circle, centre O. PQ passes through O. Angle RPQ = 67⁰. a) Find the size of the angle PQR. angle PQR = ​​ (a)   ​ ​ ​ b) Give a reason for your answer:​ ​ ​ ​ (b)  

• 23

• The Angle in a semi-circle is always 90 degrees

• Alternate segment theorem.

• Tangents which meet at an external point are equal

• 67

• Center angle = twice the circumference angle

• Tangents meet the radius at 90 degrees

• 134

Tags

CCSS.HSG.C.A.2

Calculate the angle θ in the figure.

(Leave out the unit when writing your answer)

Tags

CCSS.HSG.C.A.2

Calculate the angle θ in the figure.

(Leave out the unit when writing your answer)

Tags

CCSS.HSG.C.A.2

Calculate the angle θ in the figure.

(Leave out the unit when writing your answer)

Tags

CCSS.HSG.C.A.2

Calculate the angle θ in the figure.

(Leave out the unit when writing your answer)

Tags

CCSS.HSG.C.A.2

Calculate the value of x.

(Leave out the unit when writing your answer)

Tags

CCSS.HSG.C.A.2