A circle has a radius of 6 an arc in the circle has a central angle of 48 degrees what is the length of the act

Answer: 8/5 pi

The length of arc is 5.02655 units

Solution:

Given: - A circle has a radius of 6 an arc in the circle has a central angle of 48 degrees

We need to find the length of the arc

The length of an arc is the product of the radius and the angle traced by the arc

Here radius of the circle is 6 and the angle created by it is 48 degree

The formula is S = rθ where s represents the arc length, θ represents the central angle in radians and r is the length of the radius.

We know that,

1 degree = 0.0174533 radians

48 degree = 48 x 0.0174533 = 0.837758 radians

S = r θ

S = 6 x 0.837758 = 5.02655

Thus the length of arc is 5.02655 units