# Year 10+ Puzzles

### Chapters

### Solution: Which is Bigger?

# Solution: Which is Bigger?

## The Puzzle:

In the picture, is the area coloured green or the area coloured blue bigger?

## The Solution:

Let's draw grid-lines over the puzzle so that it's easier to calculate the areas:

The area of the square is \(10 \times 10 = 100 \text{ square units}\).

The green areas are equivalent to the area of two circles of radius \(3\). So,

**Note:** If I'd made the green circles just a big smaller, the blue area would have been bigger. For example, if I made the radius \(2.8\),
the green area would have been approximately \(47.16 \text{ square units}\), and the blue area would have been \(52.84 \text{ square units}), which is larger.

### Description

This series of puzzles are for Year 10 or higher students, these puzzles tests your skills and also train you with problem solving and thinking out of the box

### Audience

Year 10 students or higher

### Learning Objectives

Solving puzzles

Author: Subject Coach

Added on: 28th Sep 2018

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