Short Answer 
The area of a circle is calculated using the formula A = œAr¬≤. For a radius of 1.2m, the area is computed as approximately 4.5238934m¬≤, which is then rounded to 4.5m¬≤ to match the significant figures of the radius.
Step 1: Understand the Formula
To find the area of a circle, you need to use the formula A = œAr¬≤. In this formula, œA is a mathematical constant approximately equal to 3.14, and r represents the radius of the circle. In our case, the radius provided is 1.2m.
Step 2: Calculate the Area
Now, plug the radius value into the formula to calculate the area. You would do the following calculations:
- Square the radius: (1.2m)² = 1.44m²
- Multiply by œA: A = 3.14 x 1.44m¬≤
- This results in an area of approximately 4.5238934m².
Step 3: Round to Significant Figures
Since the radius has two significant figures, it’s important to round the calculated area accordingly. Hence, we round 4.5238934m¬¨‚⧠to two significant figures, yielding an area of approximately 4.5m¬¨‚â§. This ensures that the measurement is expressed accurately according to the precision of the original radius.