GCSE Secondary Maths Age 13-17 - Geometry & Measures: Circle Theorems - Explained

The video tutorial explains how to solve a geometry problem involving circle theorems and tangents. It begins with an introduction to the problem, detailing the given angles and the need to find a specific angle using circle theorems. The teacher walks through the process of calculating angles in a quadrilateral and applying circle theorems to find the required angle. The tutorial concludes with a discussion on the marks allocated for each step of the solution.

What is the significance of points BC&D in the circle?

• They are the center of the circle.

• They are points on the circumference.

• They are tangents to the circle.

• They are the radii of the circle.

What is the sum of angles in a quadrilateral?

• 360 degrees

• 270 degrees

• 180 degrees

• 450 degrees

How is angle DOB calculated?

• By subtracting the sum of other angles from 360 degrees.

• By adding 90 degrees to angle DAB.

• By doubling the angle at the circumference.

• By using the Pythagorean theorem.

What is the relationship between the angle at the center and the angle at the circumference?

• The angle at the center is equal to the angle at the circumference.

• The angle at the center is double the angle at the circumference.

• The angle at the center is half the angle at the circumference.

• The angle at the center is triple the angle at the circumference.

What type of triangle is formed by the radius and tangent?

• Scalene triangle

• Equilateral triangle

• Right triangle

• Isosceles triangle

What is the final angle ODC calculated in the problem?

• 40 degrees

• 90 degrees

• 55 degrees

• 70 degrees

How many marks were allocated for finding the correct answer?

• One mark

• Two marks

• Three marks

• Four marks