Based on the circle shown with radius 4 cm and central angle 150°, the length of arc CD is: A. 10.47 cm.
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.
By substituting the given parameters into the arc length formula, we have the following;
Arc length = 2πr × θ/360
Arc length = 2π(4) × 150/360
Arc length = 8π × 5/12
Arc length = 40π/12 cm.
Arc length = 10.47 cm.