GCSE Secondary Maths Age 13-17 - Shapes & Area: Trapezium/Circle Area - Explained

The video tutorial explains how to calculate the area of a shaded region formed by a trapezium and two semi-circles. It covers the steps to find the area of the trapezium using a specific formula, then calculates the area of the semi-circles by treating them as a full circle. The final step involves subtracting the area of the semi-circles from the trapezium and rounding the result to three significant figures. The tutorial also highlights the importance of remembering formulas and understanding key concepts for exams.

What is the main objective of the problem discussed in the video?

• To find the perimeter of the trapezium

• To calculate the area of the shaded region

• To determine the volume of the semi-circles

• To measure the length of line DC

Which formula is used to calculate the area of a trapezium?

• Pi times radius squared

• 1/2 the sum of the parallel sides multiplied by the height

• Length times width

• Base times height

What is the area of the trapezium calculated in the video?

• 300 cm²

• 280 cm²

• 250 cm²

• 150 cm²

How is the area of the two semi-circles calculated?

• By adding the diameters of the semi-circles

• By subtracting the radius from the diameter

• By calculating the area of a full circle

• By calculating the area of one semi-circle and doubling it

What is the radius of the semi-circles used in the calculation?

• 6 cm

• 4 cm

• 3 cm

• 5 cm

What is the final area of the shaded region after rounding?

• 255 cm²

• 250 cm²

• 252 cm²

• 260 cm²

How many marks are awarded for correctly finding the radius?

• Two marks

• One mark

• Three marks

• Four marks