Answer :
To find the area of a circle with a diameter of 16 centimeters, we first need to find the radius. Since the radius is half the diameter, we divide the diameter by 2:
Radius (r) = Diameter / 2 = 16 cm / 2 = 8 cm
Now that we have the radius, we can use the formula for the area (A) of a circle, which is:
\[ A = \pi r^{2} \]
Substituting the radius into the formula gives us:
\[ A = \pi (8 \text{ cm})^{2} \]
\[ A = \pi (64 \text{ cm}^{2}) \]
\[ A = 64\pi \text{ cm}^{2} \]
Therefore, the area of the circle in terms of π (pi) is \( 64\pi \text{ cm}^{2} \).
Answer: 64π cm²
Step-by-step explanation:
We can find the area of a circle with the given formula. Keep in mind that the radius is equal to r = d/2. Then, we will square the radius and multiply to simplify and solve for the area.
A = πr²
A = π(16 cm/2)²
A = π(8 cm)²
A = π(64 cm²)
A = 64π cm²
In terms of pi (π), this gives us an answer of 64π cm².
