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Vanyuwa [196]
4 years ago
5

How is arc length calculated? What measurement needs to be used for the angle for the arc length formula? Provide an example.

Mathematics
2 answers:
raketka [301]4 years ago
4 0

Answer:

  • <em>The radius and central angle are the key components for determining the length of the arc. It is known that the arc length is equal to the circumference for an angle equal to 360 degrees or 2π radians. </em>
  • <em>L = r*central angle Therefore, the arc length is radius multiplied by the central angle (in radians).</em>

<u>example</u>:

  • r= 10 m
  • central angle= π/4
  • circumference of circle= 2πr= 20π m
  • arc length= r*π/4 = 2.5π m
eimsori [14]4 years ago
3 0

Answer:

i honestly don't know

Step-by-step explanation:

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5 0
3 years ago
Help!<br> Central Angles and arc measures
enot [183]

Answer:

  x = 11

Step-by-step explanation:

The sum of arcs of a semicircle is 180°. That fact can be used with the given angle relations to find the value of x.

<h3>Setup</h3>

The measure of an arc is the same as the measure of the central angle it subtends.

  DC +CG +GF = 180

The angle bisector CH ensures that angles CHD and CHG are congruent. That means arcs CD and CG are congruent, and we have ...

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  2(7x -1) +(2x +6) = 180 . . . . . . . use the given expressions

<h3>Solution</h3>

This equation can be solved for x.

  16x +4 = 180 . . . . . . . . . . . . simplify

  16x = 176 . . . . . . . . . . . . subtract 4

  x = 11 . . . . . . . . . . . . . divide by 16

6 0
2 years ago
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