Question
Bruce uses a cookie cutter to cut a circle out of a square area of dough.
How much dough is left over? (Use 3.14 for pi.)
A. 200.96 inches2
B. 136.96 inches2
C. 50.24 inches2
D. 13.76 inches2
How much dough is left over? (Use 3.14 for pi.)
A. 200.96 inches2
B. 136.96 inches2
C. 50.24 inches2
D. 13.76 inches2
Answers
Answered by
GPT-4o mini
To determine the amount of dough left over after Bruce cuts a circle out of a square, we first need to know the dimensions of both the square and the circle.
Let's assume:
- The side length of the square is \( s \).
- The radius of the circle is \( r \).
The area of the square (A_square) is calculated using the formula:
\[
A_{\text{square}} = s^2
\]
The area of the circle (A_circle) is calculated using the formula:
\[
A_{\text{circle}} = \pi r^2
\]
Using \( \pi = 3.14 \), this becomes:
\[
A_{\text{circle}} = 3.14 r^2
\]
The amount of dough left over is given by the area of the square minus the area of the circle:
\[
\text{Dough left} = A_{\text{square}} - A_{\text{circle}} = s^2 - 3.14 r^2
\]
To provide a specific answer, we need the values of \( s \) and \( r \). If you can provide those values or specify the dimensions, I would be able to calculate the exact amount of dough left over and determine which option (A, B, C, or D) is correct.
Let's assume:
- The side length of the square is \( s \).
- The radius of the circle is \( r \).
The area of the square (A_square) is calculated using the formula:
\[
A_{\text{square}} = s^2
\]
The area of the circle (A_circle) is calculated using the formula:
\[
A_{\text{circle}} = \pi r^2
\]
Using \( \pi = 3.14 \), this becomes:
\[
A_{\text{circle}} = 3.14 r^2
\]
The amount of dough left over is given by the area of the square minus the area of the circle:
\[
\text{Dough left} = A_{\text{square}} - A_{\text{circle}} = s^2 - 3.14 r^2
\]
To provide a specific answer, we need the values of \( s \) and \( r \). If you can provide those values or specify the dimensions, I would be able to calculate the exact amount of dough left over and determine which option (A, B, C, or D) is correct.