Find the Equation of the Circle Shown in the Figure

After defining σ avg and R we can modify Equation 3 to get Equation 4 which is the equation for a circle with center. In the figure we see that is the -coordinate on the unit circle and it corresponds to the line segment shown in blue.

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The radian measure of angle θ is the length of the arc it subtends on the unit circle.

. Let us illustrate how the pole method works. As shown in the figure above a line drawn through the pole and some stress point σ𝜏 on the circle is exactly parallel to the plane with corresponding σ and 𝜏 making this approach very intuitive. Consider the unit circle shown in.

Therefore we see that for.

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