# A particle travels clockwise on a circular path of diameter​ R, monitored by a sensor on the circle at point​ P; the other endpoint of the diameter on which the sensor lies is Q. Let theta be the angle between the diameter PQ and the line from the sensor to the particle. Let c be the length of the chord from the​ particle's position to Q. Complete parts a and b below.Points P, Q, and Particle are on a circle, with P at a sensor near the bottom and Q and Particle near the top. The line segment P Q is a diameter labeled R. The line segment Q Particle has length c. An arrow points clockwise along the circle from Particle to Q. The angle formed by the line segments P Q and P Particle is labeled theta. The angle formed by the line segments P Particle and Q Particle is a right angle.a. Calculate dtheta​/dc.

Question

A particle travels clockwise on a circular path of diameter​ R, monitored by a sensor on the circle at point​ P; the other endpoint of the diameter on which the sensor lies is Q. Let theta be the angle between the diameter PQ and the line from the sensor to the particle. Let c be the length of the chord from the​ particle's position to Q. Complete parts a and b below.
Points P, Q, and Particle are on a circle, with P at a sensor near the bottom and Q and Particle near the top. The line segment P Q is a diameter labeled R. The line segment Q Particle has length c. An arrow points clockwise along the circle from Particle to Q. The angle formed by the line segments P Q and P Particle is labeled theta. The angle formed by the line segments P Particle and Q Particle is a right angle.
a. Calculate dtheta​/dc.

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Step 1

Let theta be angle between the diameter PQ and the...

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