Final answer:
To find the arc length on a circle of radius 14 units subtended by an angle of 350°, first convert the angle to radians and then use the formula Δs = r × Δθ. The answer will be the arc length in units.
Step-by-step explanation:
To solve the mathematical problem completely and find the arc length along a circle, you'll need to use the following formula which relates arc length (Δs), radius (r), and the central angle (Δθ in radians):
Δs = r × Δθ
Let's apply this to the circle with a radius of 14 units and an angle of 350°. Keep in mind that we need the angle in radians to use the formula:
- First, convert the angle from degrees to radians: Δθ = 350° × (π / 180°) = (350/180)π radians.
- Now, find the arc length using the formula: Δs = 14 × (350/180)π
Calculating the value gives us the arc length, Δs = 14 × (350/180)π units.