Final answer:
The area of the circle with a radius of 11 cm is calculated using the formula A = πr². The calculated area is 379.94 cm², which rounds to 380.0 cm² to one decimal place.
Step-by-step explanation:
To calculate the area of a circle, we use the formula A = πr², where 'A' represents the area and 'r' is the radius of the circle. Given that the radius (r) is 11 cm, we can plug this value into the formula.
Using π approximately equal to 3.14159, the calculation becomes A = π x 11². So, A = 3.14159 x 121, where 121 is the square of 11. This calculation gives us a value of 379.94 cm² when rounded to the nearest hundredth.
To give an answer to one decimal place (1 d.p.), we round the area to 380.0 cm², since the digit after the decimal point is 4, which rounds down.