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. 154
• B. 144
• C. 49
• D. 308

Answer: (A)

To find the area of a circle, the formula used is A = πr², where A represents the area and r represents the radius of the circle. In this case, the radius is given as 7. Using the formula, we can substitute the value of the radius: A = π(7)² A = π(49) To approximate the area, you can use the value of π as approximately 3.14: A ≈ 3.14 * 49 A ≈ 153.86 When rounded, this gives an area of approximately 154. Therefore, the area of the circle with a radius of 7 is correctly approximated as 154, making this the correct answer. This understanding of the formula and its application is fundamental in geometry and helps provide a clear method to find the area of circles in various contexts.

To find the area of a circle, the formula used is A = πr², where A represents the area and r represents the radius of the circle. In this case, the radius is given as 7.

Using the formula, we can substitute the value of the radius:

A = π(7)²

A = π(49)

To approximate the area, you can use the value of π as approximately 3.14:

A ≈ 3.14 * 49

A ≈ 153.86

When rounded, this gives an area of approximately 154. Therefore, the area of the circle with a radius of 7 is correctly approximated as 154, making this the correct answer.

This understanding of the formula and its application is fundamental in geometry and helps provide a clear method to find the area of circles in various contexts.