jocelyncaban7 jocelyncaban7
  • 08-06-2020
  • Mathematics
contestada

In the diagram shown, m <AOC =124 and OA=10 cm. Which of the following is closest to the length of
arc ABC?

(1) 20.6
(2) 21.6
(3) 40.4
(4) 41.2
​

Respuesta :

jbiain jbiain
  • 13-06-2020

Answer:

(2) 21.6

Step-by-step explanation:

The segment OA is the radius of the circle

The arc of the complete circle is equivalent to its perimeter

perimeter = 2*π*radius = 2*π*10 = 62.83 cm

This arc is proportional to 360°. So, for 124°:

360°/124° = 62.83 cm/ x cm

x = 124*62.83/360

x = 21.6 cm

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