# Ask the Question

This time, give your child an answer and challenge him or her to ask the question!

## What You Need:

- Pencil and paper
- Calculator

## What You and Your Child Will Do:

- Read the problem.
A new circular swimming pool with a 30-foot diameter is enclosed by a square fence that measures 42 feet on a side. Sod was put down around the pool and within the fence so that the swimmers can step out of the pool and onto soft grass.

- Use the formulas:
Perimeter of a square = 4s

Area of a square = s^{2}

Circumference of a circle = 2π**d**^{ }

Area of a circle = πr^{2} - Challenge your child with the following:
- What is the question whose answer is 168 feet?

**Answer:**“What is the length of the fencing?” (**P**= 4s, or 4 x 42 = 168 ft) - What is the question whose answer is 1,764 square feet?

**Answer:**“What is the area enclosed by the fence?” (**A**= s^{2}, or 42 x 42 = 1,764 ft^{2}) - What is the question whose answer is 188.4 feet

**Answer:**“What is the circumference of the pool?” (**C**= 2π**d**, or 2 x 3.14 x 30 = 188.4 ft)^{ } - What is the question whose answer is 706.5 square feet?

**Answer:**“What is the area of the pool?” (**A**= πr^{2}, or 3.14 x 152 = 706.5 ft^{2}) - What is the question whose answer is 1,057.5 square feet?

**Answer:**“How much sod was put down?” (1,764 − 706.5 = 1,057.5 ft^{2})

- What is the question whose answer is 168 feet?