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The length of an arc of a circle is 6.28 units, and the measure of the corresponding central angle is 1.12 radians. What is the radius of the circle? Round the answer to two decimal places.

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Respuesta :

caylus
Hello,

[tex]arc=\theta \ * R\\\\ R= \frac{6.28}{1.12} =5,607142857...[/tex]≈5.61
Using the formula :
L = R x theta
Where,
L =arc length
R = radius
Theta = angle 
So,
Substituting the given values :
 
L = R x theta
6.28  = R x 1.12 
R = 6.28 / 1.12
R = 5.60