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An arcPQ of a circle of radius r is created with a central angle ( in radians ) as shown in the figure to the
An arcPQ of a circle of radius is created with a central angle in radians as shown in the figure to the right. Assume the center of the circle is the origin of the Cartesian coordinate plane so the point lies on the axis
a Find the equations of lines tangent to the circle at and you should have three variables in your answer: the unspecified angle and the unspecified radius
b These two tangent lines intersect at a point Find it your answer will also include and
c and form a triangle as shown in the figure. What is the formula for the area of this triangle, in terms of and
d Recall that the formula for the area of a segment piece of circle cut off from the rest by a line segment is Let be the area between the line segments and the arc Calculate
e Why do you think the ratio in Part D approached the number you got? Dont just say "because that's what we got." Try to come up with an explanation that doesn't use your calculations.
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