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