What is the area of a circle with a radius of 3 cm?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

To calculate the area of a circle, you can use the formula A = πr², where A represents the area and r is the radius of the circle. In this case, the radius is given as 3 cm.

First, square the radius:

3 cm × 3 cm = 9 cm².

Next, multiply this result by π (approximately 3.14):

Area = π × 9 cm² ≈ 3.14 × 9 cm².

Carrying out this multiplication gives:

Area ≈ 28.26 cm², which is generally rounded to 28.27 cm² when presenting a final answer.

Therefore, the area of the circle with a radius of 3 cm is approximately 28.27 cm², confirming that the correct answer is indeed the second choice.

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