To find the length of the arc subtended by an angle in radians, we can use the formula:
Arc Length (L) = r × θ
where:
- L is the length of the arc,
- r is the radius of the circle,
- θ is the angle in radians.
In this case, the radius (r) is 25 cm and the angle (θ) is 7π/5 radians.
Now, substituting the values into the formula:
L = 25 cm × (7π/5)
Calculating this:
L = 25 cm × (7×3.1416/5)
L = 25 cm × (21.9912/5)
L = 25 cm × 4.3982
L ≈ 109.95 cm
Therefore, the length of the arc subtended by the angle of 7π/5 radians on a circle with a radius of 25 cm is approximately 109.95 cm.