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

The video tutorial explains how to find the area of a shaded segment in a circle. It begins by describing the problem, which involves a quarter circle with a given radius and a triangle formed by the circle's center and two points on the arc. The tutorial then details the calculation of the quarter circle's area using the formula πR², followed by the calculation of the triangle's area using base and height. The shaded segment's area is found by subtracting the triangle's area from the quarter circle's area. The final answer is rounded to three significant figures, and the video concludes with a discussion on the marks awarded for each step.

What fraction of the circle does the arc A to B to C represent?

• 1/3

• 1/5

• 1/2

• 1/4

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

• π R

• π D

• π R^2

• 2π R

What is the radius of the circle in the problem?

• 3.6

• 4.8

• 5.2

• 6.0

How is the area of the triangle AOC calculated?

• Base plus height

• Base multiplied by height

• Base multiplied by height divided by two

• Base minus height

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

• 6.59 cm²

• 6.58 cm²

• 6.57 cm²

• 6.60 cm²