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On a circle of radius 10 feet, what angle would subtend an arc of length 6 feet?

Sagot :

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!

View image deliaaaxox

On a circle of radius 10 feet,  34.37° angle would subtend an arc of length 6 feet.

How to find the length of an arc?

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°

Learn more about the length of the arc ;

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