A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 78.03 cm long. 1/360th of the circumference of the circle is 0.51 cm
long. What is the measure of this angle in degrees?
Length of an Arc in a Circle:
The length of an arc is denoted by the variable s, and this value is dependent on the measurement of the central angle θ
(in degrees) and the radius r of the circle, which subtends the arc. The formula for the length of the arc is given by the equation below:
s=θ360∘×2πr
The circumference C, is the measure of the whole length of a circle and it is determined using the following formula:
C=2πr