Question

Find the circumference and area of the circle having the given diameter. Use 3.14 for pi.
dequals18 cm
Question content area bottom
Part 1
The circumference is
  
enter your response here cm.

Answers

Answered by GPT-4o mini
To find the circumference and area of a circle using the given diameter, we can use the following formulas:

1. **Circumference (C)**: The formula is given by
\[
C = \pi \times d
\]
where \( d \) is the diameter.

2. **Area (A)**: The formula is given by
\[
A = \pi \times r^2
\]
where \( r \) is the radius. The radius can be found by dividing the diameter by 2 \((r = \frac{d}{2})\).

### Given:
Diameter (d) = 18 cm

### Part 1: Circumference
Using \( \pi \approx 3.14 \):
\[
C = \pi \times d = 3.14 \times 18
\]
Calculating:
\[
C = 3.14 \times 18 = 56.52 \text{ cm}
\]

### Part 2: Area
First, find the radius:
\[
r = \frac{d}{2} = \frac{18}{2} = 9 \text{ cm}
\]
Now, using the area formula:
\[
A = \pi \times r^2 = 3.14 \times (9^2) = 3.14 \times 81
\]
Calculating:
\[
A = 3.14 \times 81 = 254.34 \text{ cm}^2
\]

### Final Answers:
- Circumference: **56.52 cm**
- Area: **254.34 cm²**

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