Respuesta :

Answer:

The length of the arc AB = 11.8 answer A

Step-by-step explanation:

∵ the measure of the central angle AOB is 90°

∵The measure of any circle is 360°

∴ 90 ÷ 360 = 1/4 then the length of the opposite arc AB is 1/4 from the length of the circle

∵length circle = 2πr

∴length arc AB = 1/4 (2πr)

∴ length arc AB = [tex]\frac{1}{4}[/tex]× 2 × π × 7.5 = 11.78 ≅ 11.8

Answer A