What is the length of the intercepted arc AB ?
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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