Pendulum length is approximately: 45.02 cm
To solve for the length of the pendulum when given the arc length and central angle, we can use the formula:
s = rΘ
Where:
s represents the arc length
r represents the radius or length of a pendulum
Θ represent the central angle (in radians)
Convert the angle into radians first.
Formula:
1° × pi/180
so
7° x pi/180 = 7pi/180 radians
Divide s by Θ to get r.
---> 5.5 cm / (7pi/180)
---->( 5.5 × 180 )/ 7pi
= 45.018 cm
round to nearest hundredth or however you want it
= 45.02 cm