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That depends on whether the angle is 1.3 degrees, radians, or some other unit. The first step is to calculate the circumference of a circle with radius 8.6 cm. This is 2 pi times the radius. Pi being approximately 3.14, this is about 54.0 cm. This is an arc of 360 degrees. So if you mean 1.3 degrees, we divide 360 by 1.3 and get about 276.9. Finally, dividing 54.0 cm by 276.9 gives about 0.195 cm. A more direct method is to divide the circumference by 360 to get 0.15 cm per degree, and multiply that by 1.3 to get 0.195 cm.

If you mean 1.3 radians, that is even easier, since by definition, a radian subtends an arc whose length equals the radius. So we just multiply the radius 8.6 cm by 1.3 and get 11.18 cm.

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Q: How long a piece of wire would you need to form a circular arc subtending an angle of 1.3 if the radius of the arc is 8.6 cm?
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