The formula for calculating the length of an arc is expressed as
length of arc = θ/360 x 2 x π x r
where
π is a constant whose value is 3.14
r is the radius of the circle
θ is the angle subtended at the center of the circle by the arc
From the information given,
θ = 12
r = length of pendulum = 47
By substituting these values into the formula,
length of arc = 12/360 x 2 x 3,14 x 47 = 9.83867
Rounding to the nearest hunderdth,
length of arc = 9.84 inches
