Question

2 5 ft 4 5 in

Explanation:

Step1: Recall circle - area formula

The formula for the area of a circle is $A = \pi r^{2}$, where $r$ is the radius of the circle.

Step2: Find the radius for the second circle

For the circle with diameter $d = 5$ in, the radius $r=\frac{d}{2}=\frac{5}{2}=2.5$ in.

Step3: Calculate the area

Substitute $r = 2.5$ in into the area formula: $A=\pi r^{2}=3.14\times(2.5)^{2}=3.14\times6.25 = 19.625$ in$^{2}$.

Answer:

$19.625$ in$^{2}$