The length of the arc is 15cm×radian. If you want to express the result in terms of centimeters, you can leave it as 15cm×radian, as the unit of radians is dimensionless when used in this context.
The formula to find the length (L) of an arc subtended by a central angle (θ) in a circle with a given radius (r) is given by:
L=r×θ
where,
L is the length of the arc,
r is the radius of the circle,
θ is the central angle in radians.
In your case, if the circle has a radius of 10 cm and the central angle is 1.5 radians, you can use the formula:
L=10cm×1.5radian
L=15cm×radian
So, the length of the arc is 15cm×radian. If you want to express the result in terms of centimeters, you can leave it as 15cm×radian, as the unit of radians is dimensionless when used in this context.
Question
If a circle has a radius of 10 cm how do you find the length of an arc subtended by a central angle measuring 1.5 radians?