alejandrocarro alejandrocarro
  • 10-06-2021
  • Mathematics
contestada

An arc on a circle of radius 10 has an arc length of 49/9 . What is the degree measure of the corresponding central angle?

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DarlinEsteves
DarlinEsteves DarlinEsteves
  • 10-06-2021

Hope this help!!!

Have a nice day!!!

Ver imagen DarlinEsteves
Ver imagen DarlinEsteves
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samirakalank samirakalank
  • 10-06-2021

Answer:

Central angle = 98 degrees

Step-by-step explanation:

Radius (r) = 10 Arc length = 49[tex]\pi[/tex]/9

Let 0 be the central angle

Arc Length = 2[tex]\pi[/tex]r0/360

49[tex]\pi[/tex]/9 = 2[tex]\pi[/tex]r0/360

49[tex]\pi[/tex]/9 = [tex]\pi[/tex]x0/18

49[tex]\pi[/tex]/9 x 18/[tex]\pi[/tex] = 0

0 = 49x2

0 = 98 degrees

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