Points A and B are marked on the circle with center m O, so the angle AOB = 28 degrees.

Points A and B are marked on the circle with center m O, so the angle AOB = 28 degrees. Smaller arc length = 63. Find a large arc.

From the condition of the problem it is known, on the circle, with the center O, points A and B are marked so that the angle AOB is equal to 28 degrees. The length of the smaller arc is 63. Before calculating the length of the larger arc, you must calculate the degree measure of the larger arc.

We calculate the degree measure of the larger arc.

1) 360 – 28 = 332 (degrees) – the degree measure of the larger arc.

Now, using proportion, we calculate the length of the larger arc.

63 – 28 degrees;
x – 332 degrees.

2) (63 * 332): 28 = 747 – the length of the larger arc.

Answer: The length of the larger arc is 747.