A circle has a radius of 7

centimeters (cm).

What is the approximate area of the circle?

Use the approximation of 227
for π
in your calculations.

Responses

22
cm2
22 textsf cm squared

14
cm2
14 textsf cm squared

154
cm2
154 textsf cm squared

44
cm2

1 answer

To find the area of a circle, you can use the formula:

\[ \text{Area} = πr^2 \]

where \( r \) is the radius of the circle.

Given:

  • Radius \( r = 7 \) cm
  • \( π \approx \frac{227}{100} \) (or 3.14)

First, calculate \( r^2 \):

\[ r^2 = 7^2 = 49 \]

Now, substitute \( r^2 \) and the approximation of \( π \) into the area formula:

\[ \text{Area} \approx \frac{227}{100} \times 49 \]

Calculating this:

\[ \text{Area} \approx \frac{227 \times 49}{100} \]

Calculating \( 227 \times 49 \):

\[ 227 \times 49 = 11123 \]

Now divide by 100:

\[ \text{Area} \approx \frac{11123}{100} = 111.23 , \text{cm}^2 \]

Rounding to the nearest whole number, the area is approximately 111 cm².

However, from the provided options, the closest area is:

  • 154 cm²

None of the provided options is a perfect match to the calculated area; thus, it appears there may be an error given the context. Based on the calculations, the area of the circle with a 7 cm radius and \( π \approx \frac{227}{100} \) is indeed approximately 111 cm², but the provided option closest in the calculation itself would need to be revised or reconsidered.