find the length of an arc of a circle whose circumference is 832.38 cm and central angle is 333 degrees
First, we need to find the circumference of the entire circle, since we only have the value for the circumference given. We know that the circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle. We can rearrange this formula to solve for the radius, r = C/2π.
r = 832.38 cm / (2 x 3.14159) = 132.53 cm
Now that we know the radius, we can use the central angle and the formula for the length of an arc of a circle to find the length of the arc. The formula for the length of an arc of a circle is given by L = (central angle/360) x 2πr.
L = (333/360) x (2 x 3.14159) x 132.53 cm
L = 1.03 x 835.15
L = 859.01 cm
Therefore, the length of the arc is approximately 859.01 cm.