Solving Circle Angle Problems

The video tutorial explains how to solve a geometry problem involving circle theorems. It covers identifying right angles formed by tangents and radii, understanding isosceles triangle properties, and calculating the angle PQT. The solution is broken down into steps with justifications, and the marks allocation is discussed.

What is the significance of the center O in the circle?

• It is the point where all radii meet.

• It is the point where the circle intersects the tangent.

• It is the midpoint of the tangent.

• It is the endpoint of the tangent.

Why is the angle OQT equal to 90 degrees?

• Because it is an angle in a semicircle.

• Because it is an angle in an equilateral triangle.

• Because it is where a tangent meets a radius.

• Because it is formed by two radii.

Which theorem helps in identifying the right angle at the tangent point?

• Tangent-Radius Theorem

• Tangent-Secant Theorem

• Alternate Segment Theorem

• Inscribed Angle Theorem

What type of triangle is formed by the radii OQ and OP?

• Equilateral triangle

• Right triangle

• Scalene triangle

• Isosceles triangle

What is the measure of angle OQP?

• 90 degrees

• 36 degrees

• 18 degrees

• 72 degrees

How do you calculate the angle PQT?

• By dividing 90 degrees by 18 degrees

• By subtracting 18 degrees from 90 degrees

• By multiplying 18 degrees by 2

• By adding 18 degrees to 90 degrees

What is the final calculated angle for PQT?

• 54 degrees

• 72 degrees

• 90 degrees

• 108 degrees