Question

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

Answer 1

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

Answer 2

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

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=(Length)/(Radius)\\\\\theta=(4r)/(r)\\\\\theta=4\ radians`

As we know that

1 radian = 57.2958 degrees

so, 4 radians will equal to
`4* 57.2958^\circ=229.1832^\circ`

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