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The length of an arc of a circle is 26/9 pi
centimeters and the measure of the corresponding central angle is 65 degrees. What is the length of the circle's radius?

Sagot :

shubhamchouhanvrVT

The radius will be equal to 7.55 centimeters.

What is the length of arc of the circle?

The arc length is the curved length on the circumference of a circle suspended by a small angle.

The radius will be calculated as follows:-

r = [tex]\dfrac{Arc}{Angle}[/tex]

r = [tex]\dfrac{\dfrac{26\pi}{9}}{\dfrac{69\times \pi}{180}}[/tex]

r = [tex]\dfrac{9.07}{1.20}[/tex]

r = 7.55 centimeters

Therefore the radius will be equal to 7.55 centimeters.

To know more about the Length of the arc of a circle follow

https://brainly.com/question/2005046

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