Which of the following is the area of a circle with a radius of 3 cm? (Use π ≈ 3.14)

Which of the following is the area of a circle with a radius of 3 cm? (Use π ≈ 3.14)

• A. 12.56 cm²
• B. 28.26 cm²
• C. 18.84 cm²
• D. 15.5 cm²

Answer: (B)

To find the area of a circle, you can use the formula: Area = π * r² where π (pi) is approximately 3.14, and r is the radius of the circle. In this case, the radius is given as 3 cm. First, calculate the radius squared: r² = 3 cm * 3 cm = 9 cm² Next, multiply that result by π: Area = π * 9 cm² = 3.14 * 9 cm² = 28.26 cm² Therefore, the area of the circle with a radius of 3 cm is 28.26 cm². This shows why the correct answer is the one corresponding to 28.26 cm², as it is derived directly from the area formula using the given radius. This solution provides the necessary mathematical reasoning to arrive at the correct area.

To find the area of a circle, you can use the formula:

Area = π * r²

where π (pi) is approximately 3.14, and r is the radius of the circle. In this case, the radius is given as 3 cm.

First, calculate the radius squared:

r² = 3 cm * 3 cm = 9 cm²

Next, multiply that result by π:

Area = π * 9 cm²

= 3.14 * 9 cm²

= 28.26 cm²

Therefore, the area of the circle with a radius of 3 cm is 28.26 cm². This shows why the correct answer is the one corresponding to 28.26 cm², as it is derived directly from the area formula using the given radius. This solution provides the necessary mathematical reasoning to arrive at the correct area.