How long is the arc subtended by an angle of 7π/5 radians on a circle of radius 25 cm?

Solution:

Given: Radius of the circle is 25 cm

Angle is 7π/5 radians

We know that the arc length is the product of the radius and angle of the circle

⇒ d = rθ

⇒ d = 25(7π/5)

⇒ d = 5(7π)

⇒ d= 35π cm

Therefore, arc length for the given angle 7π/5 and radius 25 cm is 35π cm

How long is the arc subtended by an angle of 7π/5 radians on a circle of radius 25 cm?

Summary:

The arc subtended by an angle of 7π/5 radians on a circle of radius 25 cm is 35π cm.