Final answer:
The area of a circle with a radius of 7.5 cm is calculated using the formula A = πr², yielding an approximate result of 176.7 cm².
Step-by-step explanation:
To calculate the area of a circle, the formula A = πr² is used, where A represents the area and r is the radius of the circle. If the radius is given as 7.5 cm, we can insert this value into the formula and calculate the area as follows:
A = π × (7.5 cm)²
Using 3.1415927 as the value for π (pi) and rounding our answer to one decimal place, we have:
A = 3.1415927 × 56.25 cm² = 176.714586 cm² ≈ 176.7 cm²
Therefore, the area of the circle is approximately 176.7 cm² to one decimal point.