What is the area of a circle with radius 5? (Use π ≈ 3.14)

What is the area of a circle with radius 5? (Use π ≈ 3.14)

• A. 81.0
• B. 74.0
• C. 78.5
• D. 80.25

Answer: (C)

To calculate the area of a circle, you use the formula: \[ \text{Area} = \pi r^2 \] where \( r \) is the radius of the circle. In this case, the radius is 5. Substituting the values into the formula gives: \[ \text{Area} = \pi \times (5)^2 \] \[ \text{Area} = \pi \times 25 \] \[ \text{Area} = 25\pi \] Using the approximation \( \pi \approx 3.14 \): \[ \text{Area} \approx 25 \times 3.14 \] Calculating that gives: \[ 25 \times 3.14 = 78.5 \] Thus, the area of the circle is approximately 78.5 square units. This confirms that the correct choice is the one that represents this numerical value.

To calculate the area of a circle, you use the formula:

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

where ( r ) is the radius of the circle. In this case, the radius is 5.

Substituting the values into the formula gives:

[ \text{Area} = \pi \times (5)^2 ]

[ \text{Area} = \pi \times 25 ]

[ \text{Area} = 25\pi ]

Using the approximation ( \pi \approx 3.14 ):

[ \text{Area} \approx 25 \times 3.14 ]

Calculating that gives:

[ 25 \times 3.14 = 78.5 ]

Thus, the area of the circle is approximately 78.5 square units. This confirms that the correct choice is the one that represents this numerical value.