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  • 15-02-2019
  • Mathematics
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What is the length of the intercepted arc AB ?

What is the length of the intercepted arc AB class=

Respuesta :

Ashraf82
Ashraf82 Ashraf82
  • 15-02-2019

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

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