Find the length of the arc shown in red, Leave your answer in terms of pi.

Answer:The red arc has length (3/2) π Step-by-step explanation:* Lets revise some rules in the circle- The measure of any arc = the measure of the central angle   subtended by this arc- Equal central angles subtended by equal arcs- The length of the arc is a part from the length of the circle,  it depends on the ratio between the measure of this arc  and the measure of the circle - The measure of the circle = 360°- The length of the circle = 2πr* Lets solve our problem∵ The measure of the arc = 30°∴ The measure of its central angle 30°∴ The central angle of the red arc = 30° by condition of    vertically opposite angles are equal in measures∴ The measure of the red arc = 30°- The ratio between measure the arc and the measure   of the circle is 30/360 = 1/12∴ The arc is 1/12 from the circle∴ The length of the arc is 1/12 from the length of the circle∴ Length red arc = (1/12) × 2πr∵ r = 9∴ Length red arc = (1/12) × 2 × π × 9 = (3/2) π* The red arc has length (3/2) π