Question

Area and Perimeter Unit Test
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Question
Complete the table by finding the circumference and area of a circle with a radius of 279 inches. Substitute 3.14 for pi. Express your answers to the hundredths place.(1 point)
Radius Circumference Area
279 in.
in.
in.2

Answer 1

To find the circumference and area of a circle with a radius of 279 inches, you can use the following formulas:

1. **Circumference (C)** of a circle:
\[ C = 2 \pi r \]
where \( r \) is the radius.

2. **Area (A)** of a circle:
\[ A = \pi r^2 \]

Substituting \( \pi \) with 3.14:

1. **Calculate Circumference**:
\[ C = 2 \times 3.14 \times 279 \]
\[ C = 6.28 \times 279 \]
\[ C = 1757.22 \text{ inches} \]

2. **Calculate Area**:
\[ A = 3.14 \times (279)^2 \]
\[ A = 3.14 \times 77841 \]
\[ A = 244206.34 \text{ square inches} \]

Now, filling in the table:

| Radius | Circumference | Area |
|-----------|---------------|---------------|
| 279 in. | 1757.22 in. | 244206.34 in² |

So, the completed table is:

| Radius | Circumference | Area |
|-----------|---------------|---------------|
| 279 in. | 1757.22 in. | 244206.34 in² |