To solve this problem, let’s find both the circumference and area of the circle using the radius provided.

Given:

• Radius $r = 16$ inches

1. Circumference of the Circle

The formula for the circumference $C$ of a circle is: $C = 2 \pi r$

Substituting $r = 16$: $C = 2 \pi \times 16 = 32\pi$

Using an approximation for $\pi \approx 3.14159$: $C \approx 32 \times 3.14159 = 100.5 \text{ inches}$

So, the circumference is approximately 100.5 inches.

2. Area of the Circle

The formula for the area $A$ of a circle is: $A = \pi r^2$

Substituting $r = 16$: $A = \pi \times (16)^2 = \pi \times 256 = 256\pi$

Using $\pi \approx 3.14159$: $A \approx 256 \times 3.14159 = 804.2 \text{ square inches}$

So, the area is approximately 804.2 square inches.

Let me know if you would like further details or if you have additional questions.

Related Questions

1. What would the circumference and area be if the radius were doubled?
2. How does changing the radius affect the area compared to the circumference?
3. Can you calculate the diameter of a circle if you only know the area?
4. What is the circumference of a circle with an area of 804.2 square inches?
5. How can you approximate $\pi$ if only given the circumference and diameter?

Tip

Remember that the area of a circle scales with the square of the radius, while the circumference scales linearly with the radius.