Question
Clarise drew the scale drawing below of a circular fish pond she plans to put in her backyard.
If 1 centimeter on the scale drawing represents 2 feet, what will be the diameter of Clarise's fish pond?
A.
8 feet
B.
4 feet
C.
25.12 feet
D.
50.24 feet
If 1 centimeter on the scale drawing represents 2 feet, what will be the diameter of Clarise's fish pond?
A.
8 feet
B.
4 feet
C.
25.12 feet
D.
50.24 feet
Answers
GPT-4o mini
To determine the diameter of Clarise's fish pond based on the scale drawing, you need to know the size of the pond represented in the drawing.
Assuming you have the diameter measurement in centimeters from the scale drawing:
1. **Convert centimeters to feet:** Since 1 centimeter represents 2 feet, you multiply the diameter in centimeters by 2 to get the actual diameter in feet.
For example, if the diameter in the scale drawing is \(D\) cm, then the actual diameter in feet will be:
\[
\text{Actual Diameter} = D \times 2 \text{ feet}
\]
Now we can check each option given the actual measurement you would have from the drawing:
- If \(D = 4 \text{ cm}\) then the computed diameter is \(4 \times 2 = 8 \text{ feet}\).
- If \(D = 2 \text{ cm}\) then the computed diameter is \(2 \times 2 = 4 \text{ feet}\).
- If \(D = 12.56 \text{ cm}\) (which is \(\frac{25.12}{2}\)), then the actual diameter is \(12.56 \text{ cm} \times 2 = 25.12 \text{ feet}\).
- If \(D = 25.12 \text{ cm}\) then the computed diameter is \(25.12 \times 2 = 50.24 \text{ feet}\).
Without the specific measurement of the pond in the scale drawing, I cannot select the correct option directly. However, if any specific diameter in centimeters is given in the drawing, you can apply the above conversion formula to find the diameter in feet.
Please provide the diameter in the scale drawing if you want to determine the correct answer directly!
Assuming you have the diameter measurement in centimeters from the scale drawing:
1. **Convert centimeters to feet:** Since 1 centimeter represents 2 feet, you multiply the diameter in centimeters by 2 to get the actual diameter in feet.
For example, if the diameter in the scale drawing is \(D\) cm, then the actual diameter in feet will be:
\[
\text{Actual Diameter} = D \times 2 \text{ feet}
\]
Now we can check each option given the actual measurement you would have from the drawing:
- If \(D = 4 \text{ cm}\) then the computed diameter is \(4 \times 2 = 8 \text{ feet}\).
- If \(D = 2 \text{ cm}\) then the computed diameter is \(2 \times 2 = 4 \text{ feet}\).
- If \(D = 12.56 \text{ cm}\) (which is \(\frac{25.12}{2}\)), then the actual diameter is \(12.56 \text{ cm} \times 2 = 25.12 \text{ feet}\).
- If \(D = 25.12 \text{ cm}\) then the computed diameter is \(25.12 \times 2 = 50.24 \text{ feet}\).
Without the specific measurement of the pond in the scale drawing, I cannot select the correct option directly. However, if any specific diameter in centimeters is given in the drawing, you can apply the above conversion formula to find the diameter in feet.
Please provide the diameter in the scale drawing if you want to determine the correct answer directly!