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In a circle with radius 2.2, an angle intercepts an arc of length 12.2. Find the angle in radians to the nearest 10th.

User Angel Hdz
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Final answer:

The angle intercepted by the arc is approximately 5.54 radians.

Step-by-step explanation:

To find the angle in radians intercepted by an arc in a circle, we need to use the formula:

Δθ = Δs/r

Where Δθ is the angle in radians, Δs is the length of the arc, and r is the radius of the circle.

In this case, the length of the arc is 12.2 and the radius is 2.2. Plugging in these values, we get:

Δθ = 12.2/2.2

Calculating the right side of the equation gives us:

Δθ ≈ 5.54 radians (rounded to the nearest 10th)

User Soylent Graham
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