What is the arc length of a circle that has an 8-inch radius and a central angle that is 95 degrees? Use 3.14 for π and round your answer to the nearest hundredth.
The arc length of a circle can calculated by the equation:
Arc length = 2πr(C / 360)
where r is the radius and C is the central angle.
Therefore, the arc length of this circle should be calculated as follows:
Arc length = 2π(8)(95 / 360)
Arc length = 13.26 in
From the calculations, we can see that the length of the arc is 13.3 inches.
The arc is the portion of the circle that is bonded by two radii. Recall that the radius is a line drawn from the center to any part of the circumference.
Arc length = 2πr(C / 360)
Hence;
r = 2 3.14 8(95/360)
r = 13.3 inches
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