Final answer:
The circumference and area of a circle with a radius of 4.9 meters are 31 m and 75 m², respectively, after rounding to two significant figures.
Step-by-step explanation:
To find the circumference and area of a circle with a radius of 4.9 meters, we use two fundamental formulas involving π (Pi). The circumference (C) is given by C = 2πr and the area (A) is given by A = πr². Using π as 3.1415927..., we can calculate the two quantities:
C = 2 * 3.1415927... * 4.9 m = 30.7935678 m
Since the radius is given with two significant figures, we will round the circumference to two significant figures as well, resulting in a circumference of 31 m.
For the area, A = 3.1415927... * (4.9 m)² = 75.3982237 m²
After rounding to two significant figures, we get an area of 75 m².
These calculations demonstrate how the significant figures of the given parameters can limit the precision of our calculated values.
Learn more about Circle Measurements