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Find the arc length along a circle of radius 10 units subtended by an angle of 205°.​

1 Answer

1 vote

Answer:

35.7

Explanation:

Okay, here are the steps to find the arc length along a circle of radius 10 units subtended by an angle of 205°:

1) Convert the angle to radians:

205° = (205/180)π = 3.57 radians

2) Use the formula for arc length:

s = rθ

Where:

s is the arc length

r is the radius of the circle

θ is the angle measure in radians

3) Plug in the values:

s = 10 * 3.57

s = 35.7

Therefore, the arc length along a circle of radius 10 units subtended by an angle of 205° is 35.7 units.

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