If the diameter of a circle is 14', what is the area?

If the diameter of a circle is 14', what is the area?

• A. 138.5 ft²
• B. 153.86 ft²
• C. 160 ft²
• D. 170.2 ft²

Answer: (B)

To find the area of a circle, the formula to use is A = πr², where A is the area and r is the radius of the circle. First, since the diameter is provided as 14 feet, the radius needs to be calculated. The radius is half of the diameter, so: r = diameter / 2 = 14' / 2 = 7'. Next, substitute the radius into the area formula: A = π(7')² A = π(49 ft²). Using the value of π (approximately 3.14): A ≈ 3.14 * 49 ft² A ≈ 153.86 ft². Therefore, the area of the circle is approximately 153.86 square feet. This is why the correct answer is that option B reflects the precise calculation based on the known formula for the area of a circle, using the correct conversion from diameter to radius.

To find the area of a circle, the formula to use is A = πr², where A is the area and r is the radius of the circle. First, since the diameter is provided as 14 feet, the radius needs to be calculated. The radius is half of the diameter, so:

r = diameter / 2 = 14' / 2 = 7'.

Next, substitute the radius into the area formula:

A = π(7')²

A = π(49 ft²).

Using the value of π (approximately 3.14):

A ≈ 3.14 * 49 ft²

A ≈ 153.86 ft².

Therefore, the area of the circle is approximately 153.86 square feet. This is why the correct answer is that option B reflects the precise calculation based on the known formula for the area of a circle, using the correct conversion from diameter to radius.