Final answer:
The area of the circle with a radius of 10 cm is 314.2 cm², but it should be rounded to 310 cm² to match the two significant figures from the radius.
Step-by-step explanation:
To work out the area of the circle with a given radius of 10 cm, we use the formula A = πr². Using the value of π as 3.142, the calculation would be as follows:
A = 3.142 × (10 cm)²
First, square the radius: (10 cm)² = 100 cm².
Then multiply by π: 3.142 × 100 cm² = 314.2 cm².
So, the area of the circle is 314.2 cm². When dealing with significant figures, we should match the number of significant figures in the radius to that of our final answer. Since 10 cm has two significant figures, our answer should also be presented as two significant figures, which is 310 cm², when rounded correctly.
Learn more about Area of a Circle here: