Question

Select the correct answer. Circle P has a radius of 50 yards. Major Arc RST on the circle has a central angle of 215°. What is the length of major arc RST? A. 140 yards B. 1,075 18 π yards C. 130 yards D. 1,075 15 π yards​

Answer 1

The length of major arc RST is approximately 1,075 15 π yards.

Step-by-step explanation:

To find the length of a major arc on a circle, we can use the formula:

Length of Arc = (Central angle / 360) * Circumference of Circle. In this case, the central angle is 215° and the radius of the circle is 50 yards. The formula becomes: Length of Arc = (215 / 360) * (2 * π * 50).

Evaluating this expression, we find that the length of major arc RST is approximately 1,075 15 π yards.