Question

Answer this - wrong answers will be reported/deleted

Answer 1

58.03 ft

Explanation:

To solve for the total circumference of circle F, we can create a ratio of section angle measure to circumference. We know that these two attributes of a circle have a linear relationship because the formula for arc length (
`S = 2\pi r \cdot (\theta)/(360\°)`) relies proportionately on the radius and angle measure of the section.

angle measure : circumference

290° : 46.75 ft

We can multiply this ratio by
`(360)/(290)` to get the corresponding circumference for a 360° section (which is the entire circle).

`(360)/(290)(290\° : 46.75 \text{ ft})`

`= 360\° : \boxed{58.03 \text{ ft}}`

Therefore, the circumference of circle F is approximately 58.03 ft.