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

What is the radius of the circle in the given problem?

• 5 centimeters

• 9 centimeters

• 10 centimeters

• 7 centimeters

Which formula is used to calculate the arc length of a circle?

• Theta over 360 * 2π R

• Theta over 180 * 2π R

• Theta over 360 * π R

• Theta over 180 * π R

What is the relationship between a radius and a tangent at the point of contact?

• They form an angle of 45 degrees

• They form an angle of 60 degrees

• They form an angle of 90 degrees

• They form an angle of 30 degrees

How is the angle X in triangle OAD determined?

• Using the secant function

• Using the cosine function

• Using the tangent function

• Using the sine function

What is the reflex angle AOC used for in this problem?

• To find the diameter of the circle

• To determine the perimeter of the quadrilateral

• To calculate the arc length ABC

• To find the area of the circle

What is the final calculated arc length ABC, correct to three significant figures?

• 21.5 cm

• 21.7 cm

• 21.6 cm

• 21.8 cm

What key concept is essential for solving this problem?

• Understanding the properties of a square

• Remembering that a tangent and radius form a right angle

• Knowing the formula for the area of a triangle

• Calculating the volume of a cylinder