Since OAB is a sector of a circle, the radius of the circle rounded to 2 decimal places is 84.02 centimeters.
In Mathematics and Geometry, the arc length formed by a circle can be calculated by using the following equation (formula):
Arc length = 2πr × θ/360
Where:
- r represents the radius of a circle.
- θ represents the central angle.
Since OAB is a sector of the circle, the radius of the circle can be calculated as follows;
Arc length = 2πr × θ/360
192 = 2 × 3.14 × r × 131/360
69120 = 822.68r
Radius, r = 69120/822.68
Radius, r = 84.0181 ≈ 84.02 centimeters.