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calculate the area of the circle. area of a circle: ( 3.14 \times r^2 )…

Question

calculate the area of the circle. area of a circle: ( 3.14 \times r^2 ) ( a = ? , \text{ft}^2 ) round to the nearest hundredth. (circle with diameter 14 ft shown)

Explanation:

Step1: Find the radius

The diameter is 14 ft, so the radius \( r=\frac{14}{2}=7 \) ft.

Step2: Calculate the area

Using the formula \( A = 3.14\times r^{2} \), substitute \( r = 7 \):
\( A=3.14\times7^{2}=3.14\times49 = 153.86 \)

Answer:

153.86