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

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

• A. 28.26 cm²
• B. 9.42 cm²
• C. 18.84 cm²
• D. 30.12 cm²

Answer: (A)

To find the area of a circle, you use the formula A = πr², where A represents the area and r represents the radius. In this case, the radius of the circle is given as 3 cm. First, you square the radius: \[ r² = 3² = 9 \text{ cm²} \] Next, you multiply this value by π (approximately 3.14): \[ A = π \times 9 \text{ cm²} \approx 3.14 \times 9 = 28.26 \text{ cm²} \] Thus, the area of the circle with a radius of 3 cm is approximately 28.26 cm². This calculation reveals why the first option, which states the area as 28.26 cm², is the correct one. The other options provide values that do not result from the application of the area formula for a circle with the given radius and can be determined by recalculating or recognizing that they do not follow the πr² rule.

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

First, you square the radius:

[ r² = 3² = 9 \text{ cm²} ]

Next, you multiply this value by π (approximately 3.14):

[ A = π \times 9 \text{ cm²} \approx 3.14 \times 9 = 28.26 \text{ cm²} ]

Thus, the area of the circle with a radius of 3 cm is approximately 28.26 cm². This calculation reveals why the first option, which states the area as 28.26 cm², is the correct one.

The other options provide values that do not result from the application of the area formula for a circle with the given radius and can be determined by recalculating or recognizing that they do not follow the πr² rule.