In a circle with radius 7.8, an angle intercepts an arc of length 44. Find the angle in radians to the nearest 10th.

Given:

Radius of a circle = 7.8

Intercepted arc length = 44.

To find:

The angle in radians to the nearest 10th.

Solution:

We know that,

Where, r is the radius of the circle and θ is the central angle in radians.

Substituting the values, we get

Therefore, the angle in radians to the nearest 10th is 5.6.

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