What is the area of a circle with a radius of 7?

What is the area of a circle with a radius of 7?

• A. 112
• B. 154
• C. 144
• D. 158

Answer: (B)

To find the area of a circle, you can use the formula: \[ \text{Area} = \pi r^2 \] In this case, the radius (r) is 7. Plugging that value into the formula gives: \[ \text{Area} = \pi (7)^2 = \pi (49) \] Using the approximation of \( \pi \approx 3.14 \), you can calculate the area as follows: \[ \text{Area} \approx 3.14 \times 49 \] Calculating this results in: \[ 3.14 \times 49 = 153.86 \] This value can be rounded to 154. Therefore, the area of a circle with a radius of 7 is approximately 154. This matches the given choice, verifying it as the correct answer. In summary, understanding the formula for the area of a circle and performing the multiplication accurately leads to determining that the area of a circle with a radius of 7 is approximately 154.

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

[ \text{Area} = \pi r^2 ]

In this case, the radius (r) is 7. Plugging that value into the formula gives:

[ \text{Area} = \pi (7)^2 = \pi (49) ]

Using the approximation of ( \pi \approx 3.14 ), you can calculate the area as follows:

[ \text{Area} \approx 3.14 \times 49 ]

Calculating this results in:

[ 3.14 \times 49 = 153.86 ]

This value can be rounded to 154. Therefore, the area of a circle with a radius of 7 is approximately 154. This matches the given choice, verifying it as the correct answer.

In summary, understanding the formula for the area of a circle and performing the multiplication accurately leads to determining that the area of a circle with a radius of 7 is approximately 154.