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Identify the correct phrase to complete the statement.
A central angle has a measure of 1 radian if the length of the intercepted arc is ___.
A. 6.28 units
B. the same as the length of the diameter
C. the same as the length of the radius
D. pi/4 units


Sagot :

Remember that 1 degree=(π180) radians. This means that 106∘=106⋅(π180)≈1.85 radians. Now you can find the length of the arc. To find the length of the arc, multiply the radius (6 in) by the measure of the central angle in radians.

A central angle has a measure of 1 radian if the length of the intercepted arc is the same as the length of the radius.

What is the measure of 1 radian?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr, one revolution around a circle of radius r corresponds to an angle of 2π radians because of sr⇒2πrr=2π radians.

Learn more about radian here https://brainly.com/question/19758686

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