Question

circumference 74.24 ft 15 in 31.34 cm 75.36 ft find the radius radius diameter

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is $C = 2\pi r=\pi d$, where $C$ is the circumference, $r$ is the radius and $d$ is the diameter. We can use $r=\frac{C}{2\pi}$ and $d = \frac{C}{\pi}$ to find the radius and diameter respectively.

Step2: For $C = 74.248$ ft

$r=\frac{74.248}{2\pi}$, taking $\pi\approx3.14$, we have $r=\frac{74.248}{2\times3.14}=\frac{74.248}{6.28}=11.8$ ft. And $d=\frac{74.248}{3.14} = 23.6$ ft.

Step3: For $C = 31.344$ cm

$r=\frac{31.344}{2\pi}$, with $\pi\approx3.14$, $r=\frac{31.344}{2\times3.14}=\frac{31.344}{6.28}=5$ cm. And $d=\frac{31.344}{3.14}=10$ cm.

Step4: For $C = 15$ in

$r=\frac{15}{2\pi}$, taking $\pi\approx3.14$, $r=\frac{15}{2\times3.14}\approx2.39$ in. And $d=\frac{15}{3.14}\approx4.78$ in.

Step5: For $C = 45.36$ ft

$r=\frac{45.36}{2\pi}$, with $\pi\approx3.14$, $r=\frac{45.36}{2\times3.14}=\frac{45.36}{6.28}=7.2$ ft. And $d=\frac{45.36}{3.14} = 14.4$ ft.

Answer:

For $C = 74.248$ ft: radius is $11.8$ ft, diameter is $23.6$ ft.
For $C = 31.344$ cm: radius is $5$ cm, diameter is $10$ cm.
For $C = 15$ in: radius is approximately $2.39$ in, diameter is approximately $4.78$ in.
For $C = 45.36$ ft: radius is $7.2$ ft, diameter is $14.4$ ft.