What is the approximate value of the area of a circle with a radius of 4 (using π ≈ 3.14)?

What is the approximate value of the area of a circle with a radius of 4 (using π ≈ 3.14)?

• A. 25.12
• B. 50.27
• C. 31.4
• D. 62.8

Answer: (B)

To find the area of a circle, the formula used is A = πr², where A represents the area, π is a constant approximately equal to 3.14, and r is the radius of the circle. In this case, the radius is given as 4. Substituting the values into the formula: A = π × (4)² A = π × 16 Now, substituting the approximate value of π: A ≈ 3.14 × 16 A ≈ 50.24 When rounded to two decimal places, this value is approximately 50.27. Therefore, the calculation aligns closely with the value calculated under the given approximation of π. This makes it evident that the area of the circle, using a radius of 4 and the approximation for π, is accurately represented by 50.27.

To find the area of a circle, the formula used is A = πr², where A represents the area, π is a constant approximately equal to 3.14, and r is the radius of the circle.

In this case, the radius is given as 4. Substituting the values into the formula:

A = π × (4)²

A = π × 16

Now, substituting the approximate value of π:

A ≈ 3.14 × 16

A ≈ 50.24

When rounded to two decimal places, this value is approximately 50.27. Therefore, the calculation aligns closely with the value calculated under the given approximation of π. This makes it evident that the area of the circle, using a radius of 4 and the approximation for π, is accurately represented by 50.27.