Phythaforas' Theorem: Finding the Circumference of a Circle

The video tutorial explains how to solve a geometry problem involving a circle with points M, N, and P. It guides through calculating the diameter using Pythagoras theorem and then finding the circumference using the formula C = πD. The tutorial highlights the importance of correct substitution, square rooting, and rounding to three significant figures. It also discusses the marks allocation for each step and emphasizes the need to remember key formulas for exams.

What is the first step in solving the problem involving points M, N, and P on the circle?

• Use the formula for the area of a triangle.

• Calculate the circumference directly.

• Find the area of the circle.

• Identify the right angle triangle and use Pythagoras theorem.

Which theorem is used to find the diameter of the circle?

• Theorem of Parallel Lines

• Theorem of Similar Triangles

• Pythagoras Theorem

• Theorem of Circle Segments

What is the calculated length of the diameter using Pythagoras theorem?

• 12.5 cm

• 10.31 cm

• 3.5 cm

• 9.7 cm

How do you calculate the circumference of a circle?

• Multiply the diameter by π

• Multiply the radius by π

• Add the radius and diameter

• Square the radius and multiply by π

What is the circumference of the circle rounded to three significant figures?

• 33.4 cm

• 31.4 cm

• 30.4 cm

• 32.4 cm

Which formula is essential for calculating the circumference of a circle?

• C = 2πr

• C = πD

• C = πr²

• C = 2r + π

What is the key takeaway regarding the use of formulas in this problem?

• Only Pythagoras theorem is needed.

• Both Pythagoras theorem and the circumference formula are essential.

• Only the circumference formula is needed.

• No formulas are needed.