GCSE Secondary Maths Age 13-17 - Shapes & Area: Area of a Circle - Problem - Explained

The video tutorial explains how to calculate the area of a shaded segment formed by a right-angled triangle and a quarter circle. The instructor first calculates the area of the quarter circle using the formula πR² and then finds the area of the triangle using base and height. The shaded segment's area is determined by subtracting the triangle's area from the quarter circle's area. The final answer is rounded to three significant figures, and the instructor discusses the marks allocation for each step of the problem.

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

• 6.0

• 5.2

• 4.8

• 3.6

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

• πR²

• πR

• R²/π

• 2πR

How is the area of the quarter circle expressed in terms of π?

• 4.8π

• 5.76π

• 7.12π

• 6.28π

What is the base of the triangle AOC?

• 3.6

• 4.8

• 5.2

• 6.0

What is the final area of the shaded segment rounded to three significant figures?

• 6.59

• 6.57

• 6.58

• 6.60