For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc with a length of
9π
2
feet?

Solution:

The length of arc when angle given in degrees is given as:

Where,

r is the radius

is the central angle in degrees

From given,

Substituting the values we get,

Thus the measurement of the central angle is 135 degrees

44

step-by-step explanation:

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