atomicdusty
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In a circle, the length of an arc intercepted by a central angle is 12mm, and the radius of the circle is 8 mm. What is the measure, in radians, of the circle

Respuesta :

retirEEd

Answer:

Step-by-step explanation:

S = 12mm

r  = 8mm

What is the measure, in radians, of the circle or central angle?

The measure of a circle in radians is 2 radians.  I think you want the central angle thata.

theta = S/r  radians

theta = 12/8  radians

theta = 1.5 radians  for the central angle

The measure in radians of the circle is 1.5π   radians

What is central angle?

The angle between two radii of a circle is known as the central angle of the circle.

given: S = 12 mm

r  = 8 mm

circumference of a circle=2π radians

Since, 16π=2π radians.

1π= 2π /16

for,

12π =2π /16 *12

       = 3/2*π

       = 1.5π

[tex]\theta[/tex] = 1.5π   radians

Learn more about this central angle here:

https://brainly.com/question/1335226

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