- #1
eXmag
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Homework Statement
Homework Equations
The arc length equation?
The Attempt at a Solution
I don't know where to begin.
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eXmag said:O (zero) is for origin and 200 is the radius, i just put the line there to indicate where the center of the circle is. The circle is not centered with the origin that is why, just shifted to the right.
The formula for calculating arc length is s = rθ, where s is the length of the arc, r is the radius of the circle, and θ is the central angle in radians.
To convert degrees to radians, use the formula θ = (π/180) * θo, where θ is the angle in radians and θo is the angle in degrees. For example, to convert 45 degrees to radians, you would use θ = (π/180) * 45 = 0.785 radians.
Arc length is the physical distance along the curved line of an arc, while arc measure is the size of the central angle that creates the arc. Arc length is measured in units such as inches or centimeters, while arc measure is measured in units of degrees or radians.
No, arc length cannot be negative. The length of an arc is always a positive value, as it represents the physical distance along the curved line.
To find the arc length of a sector, use the formula s = (θ/2π) * 2πr = θr, where s is the arc length, θ is the central angle, and r is the radius of the circle. This formula is derived from the fact that the arc length is a fraction of the circumference of the circle, which is equal to 2πr.