Respuesta :
Answer is B
Because the formula for arc length is: 2pi (r) * angle/360
So if we input our values in the formula we have:
2pi (12) * 65/360
Just input this into your calculator and you get the answer as 13.6 (1.DP)
Hope this helped
Because the formula for arc length is: 2pi (r) * angle/360
So if we input our values in the formula we have:
2pi (12) * 65/360
Just input this into your calculator and you get the answer as 13.6 (1.DP)
Hope this helped
The arc length will be option B. 13.6 cm.
How to find the relation between angle subtended by the arc, the radius and the arc length?
[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
If radius of the circle is of r units, then
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
The superscript 'c' shows the angle measured in radians.
Given; A sector has a radius of 12 centimeters and an angle of 65 degrees.
So we input our values in the formula:
2π (12) x 65/360
= 24π x 65/360
= 13.6
Hence, the arc length will be option B. 13.6 cm.
Learn more about angle, arc length relation here:
https://brainly.com/question/15451496
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