mnolan01
Answered

A circle has a radius of length r if you mark off an arc on the circle of length 4r what is the measurement of the angle that subtends the arc

Verified Answer :

AL2006

Exactly 4 radians.
That's roughly 229.18... degrees.

Answer: Measurement of the angle that subtends the arc is 229.1832°.

Step-by-step explanation:

Since we have given that

Radius of a circle = r

Length of an arc = 4r

We need to find the measurement of the angle that subtends the arc is given by

\(\theta=\frac{Length}{Radius}\\\\\theta=\frac{4r}{r}\\\\\theta=4\ radians\)

As we know that

1 radian = 57.2958 degrees

so, 4 radians will equal to \(4\times 57.2958^\circ=229.1832^\circ\)

Hence, Measurement of the angle that subtends the arc is 229.1832°.

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