What is the area of a circle with a radius of 4 cm?

What is the area of a circle with a radius of 4 cm?

• A. 8π cm²
• B. 12π cm²
• C. 16π cm²
• D. 20π cm²

Answer: (C)

To find the area of a circle, you can use the formula: \[ \text{Area} = \pi r^2 \] where \( r \) is the radius of the circle. In this instance, the radius given is 4 cm. Plugging this value into the formula: \[ \text{Area} = \pi (4)^2 \] Calculating \( (4)^2 \) gives you 16. Therefore, substituting this back into the area formula yields: \[ \text{Area} = \pi \times 16 = 16\pi \, \text{cm}^2 \] This confirms that the area of the circle is \( 16\pi \, \text{cm}^2 \).

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

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

where ( r ) is the radius of the circle. In this instance, the radius given is 4 cm. Plugging this value into the formula:

[ \text{Area} = \pi (4)^2 ]

Calculating ( (4)^2 ) gives you 16. Therefore, substituting this back into the area formula yields:

[ \text{Area} = \pi \times 16 = 16\pi , \text{cm}^2 ]

This confirms that the area of the circle is ( 16\pi , \text{cm}^2 ).