Find the area of each circle with the given radius or diameter.

Question

Use 3.14 for pi.

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r = 4 in
r = 2 in
d = 2 in

Answer 1

To find the area of a circle, we use the formula:

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

where \(r\) is the radius of the circle. We are given different radii and diameters. Let's calculate the area for each case using \(3.14\) for \(\pi\).

1. For r = 4 in:

\[ \text{Area} = 3.14 \times (4)^2 = 3.14 \times 16 = 50.24 \text{ in}^2 \]

2. For r = 2 in:

\[ \text{Area} = 3.14 \times (2)^2 = 3.14 \times 4 = 12.56 \text{ in}^2 \]

3. For d = 2 in: (First, we need to find the radius, which is half the diameter.)

Radius \(r = \frac{d}{2} = \frac{2}{2} = 1 \text{ in}\)

\[ \text{Area} = 3.14 \times (1)^2 = 3.14 \times 1 = 3.14 \text{ in}^2 \]

Summary of Areas:

• Area for r = 4 in: 50.24 in²
• Area for r = 2 in: 12.56 in²
• Area for d = 2 in: 3.14 in²