Review question

# What's the ratio of the circle's area to the square's area? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8179

## Suggestion

A square has each side of length $6x$ units. A circle is drawn with its centre at the centre of the square to intercept a length of $2x$ units on each side of the square. Prove that the ratio of the area of the circle to the area of the square is $5\pi:18$.

What do you think it means for the circle to “intercept a length of $2x$ units on each side of the square”?

Could we draw a diagram to make it clearer?

If you’re still unsure, click to reveal how we’ve drawn it.