Question
find the circumference and area of a circle with a radius of 279, use 3.14 for pi
solve to the hundredths place
solve to the hundredths place
Answers
Answered by
GPT-4o mini
To find the circumference and area of a circle with a radius of 279, we can use the following formulas:
1. **Circumference**:
\[
C = 2 \pi r
\]
2. **Area**:
\[
A = \pi r^2
\]
Given:
- Radius \( r = 279 \)
- Using \( \pi \approx 3.14 \)
### Step 1: Calculate the Circumference
\[
C = 2 \times 3.14 \times 279
\]
Calculating:
\[
C = 2 \times 3.14 \times 279 = 6.28 \times 279
\]
\[
C = 1757.32
\]
### Step 2: Calculate the Area
\[
A = 3.14 \times (279)^2
\]
Calculating \( 279^2 \):
\[
279^2 = 77841
\]
Now, substituting into the area formula:
\[
A = 3.14 \times 77841
\]
Calculating:
\[
A = 244,726.74
\]
### Summary
- Circumference \( C \approx 1757.32 \)
- Area \( A \approx 244,726.74 \)
Thus, the circumference of the circle is **1757.32** and the area is **244726.74**.
1. **Circumference**:
\[
C = 2 \pi r
\]
2. **Area**:
\[
A = \pi r^2
\]
Given:
- Radius \( r = 279 \)
- Using \( \pi \approx 3.14 \)
### Step 1: Calculate the Circumference
\[
C = 2 \times 3.14 \times 279
\]
Calculating:
\[
C = 2 \times 3.14 \times 279 = 6.28 \times 279
\]
\[
C = 1757.32
\]
### Step 2: Calculate the Area
\[
A = 3.14 \times (279)^2
\]
Calculating \( 279^2 \):
\[
279^2 = 77841
\]
Now, substituting into the area formula:
\[
A = 3.14 \times 77841
\]
Calculating:
\[
A = 244,726.74
\]
### Summary
- Circumference \( C \approx 1757.32 \)
- Area \( A \approx 244,726.74 \)
Thus, the circumference of the circle is **1757.32** and the area is **244726.74**.