Question

1. if the circumference of a circle is 25.12 in, then what is the diameter? what is the area of the circle?

Explanation:

Step1: Recall circumference formula

The circumference of a circle is $C = \pi d$, where $C$ is circumference and $d$ is diameter. We use $\pi \approx 3.14$.

Step2: Solve for diameter

Rearrange formula to $d = \frac{C}{\pi}$
$d = \frac{25.12}{3.14} = 8$

Step3: Find radius from diameter

Radius $r = \frac{d}{2}$
$r = \frac{8}{2} = 4$

Step4: Calculate circle area

Area formula is $A = \pi r^2$
$A = 3.14 \times 4^2 = 3.14 \times 16 = 50.24$

Answer:

Diameter: 8 inches
Area: 50.24 square inches