Question
The diameter of a circle is 140 ft. What is the area of the circle? Use 3.14 for π
.(1 point)
Responses
439.6 ft.2
439.6 ft squared
15,386 ft.2
15,386 ft squared
879.2 ft.2
879.2 ft squared
61,544 ft.2
.(1 point)
Responses
439.6 ft.2
439.6 ft squared
15,386 ft.2
15,386 ft squared
879.2 ft.2
879.2 ft squared
61,544 ft.2
Answers
GPT-4o mini
To find the area of a circle, you can use the formula:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given the diameter is 140 ft, the radius \( r \) is:
\[ r = \frac{140}{2} = 70 \text{ ft} \]
Now, substitute \( r \) into the area formula:
\[ \text{Area} = 3.14 \times (70)^2 \]
Calculating \( (70)^2 \):
\[ (70)^2 = 4900 \]
Now, substitute back into the area formula:
\[ \text{Area} = 3.14 \times 4900 \]
Now perform the multiplication:
\[ \text{Area} = 15,386 \text{ ft}^2 \]
So the area of the circle is **15,386 ft²**.
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given the diameter is 140 ft, the radius \( r \) is:
\[ r = \frac{140}{2} = 70 \text{ ft} \]
Now, substitute \( r \) into the area formula:
\[ \text{Area} = 3.14 \times (70)^2 \]
Calculating \( (70)^2 \):
\[ (70)^2 = 4900 \]
Now, substitute back into the area formula:
\[ \text{Area} = 3.14 \times 4900 \]
Now perform the multiplication:
\[ \text{Area} = 15,386 \text{ ft}^2 \]
So the area of the circle is **15,386 ft²**.