Answer:
34.38 (rounding to the nearest hundredth)
Step-by-step explanation:
I have my work linked below, but I used to arc length formula and plugged in all known numbers. Then solved for x which will be the angle you are looking for. Hope this helps!
On a circle of radius 10 feet, 34.37° angle would subtend an arc of length 6 feet.
The length of an arc formula is represented as follows
The length of arc = Ф / 360 × 2πr
where
Ф = angle, r = radius
It is given that circle of a radius of 10 feet,
The length of arc = 6 ft
Therefore,
6 = Ф / 360 × 2 × 3.14159 × 10
6 = 62.8318Ф / 360
360 x 6 = 62.8318Ф
Ф = 360 x 6 / 62.8318
Ф = 34.3784
Ф ≈ 34.37°
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