Review question

# Which of these area and perimeter statements is true? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8330

## Suggestion

The vertices of an equilateral triangle are labelled $X$, $Y$ and $Z$. The points $X$, $Y$ and $Z$ lie on a circle of circumference $10$ units. Let $P$ and $A$ be the numerical values of the triangle’s perimeter and area, respectively. Which of the following is true?

1. $\dfrac{A}{P}=\dfrac{5}{4\pi}$;

2. $P<A$;

3. $\dfrac{P}{A}=\dfrac{10}{3\pi}$;

4. $P^2$ is rational.

Can we draw a diagram? What is the radius of the circle?