Answer: The length of the red arc would be 14.65
Step-by-step explanation:
To find the length of the red arc in the circle, we use a formula that relates the central angle of the arc to the circumference of the circle. The formula states that the length of an arc is equal to the fraction of the circle's circumference that the central angle represents. This fraction is found by dividing the central angle by the total number of degrees in a circle, which is 360 degrees.
Once we have this fraction, we multiply it by the entire circumference of the circle, which is 2pi times the radius. In this case, the radius of the circle is given as 12 centimeters.
So, for the red arc with a central angle of 70 degrees and a circle with a radius of 12 centimeters, we calculate the length of the arc using the formula. After substituting the given values into the formula, we find that the length of the red arc is approximately 14.65 centimeters.
