To solve this, we need to calculate:

1. The circumference of a circle with a radius of 7.4 cm.
2. The area of a circle with a radius of 7.4 cm.

Step 1: Calculate the Circumference

The formula for the circumference of a circle is: $C = 2 \pi r$ Substituting $r = 7.4$: $C = 2 \pi \times 7.4$ Using $\pi \approx 3.14159$: $C \approx 2 \times 3.14159 \times 7.4 = 46.47 \text{ cm (rounded to two decimal places)}$

Step 2: Calculate the Area

The formula for the area of a circle is: $A = \pi r^2$ Substituting $r = 7.4$: $A = 3.14159 \times (7.4)^2$ $A \approx 3.14159 \times 54.76 = 172.15 \text{ square cm (rounded to two decimal places)}$

Final Answers:

• Circumference: $46.47 \, \text{cm}$
• Area: $172.15 \, \text{square cm}$

Would you like further details or explanations?

Here are five related questions you could explore:

1. What is the diameter of the circle?
2. How would the circumference change if the radius doubled?
3. What is the ratio of circumference to area for this circle?
4. How does the area of a circle scale with its radius?
5. How would you find the area of a sector of this circle?

Tip: Always ensure to use consistent units when applying formulas!