Draw an enclosed shape in the plane around the origin.

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1. Draw an enclosed shape in the plane around the origin. However, it’s upside-down. How can I rotate this object (about the origin) so that it’s right-side up? What mathematical tools have we developed in this course to rotate my shape right-side up, and give an example.

2. Draw the unit circle and then shade in an arc of the circle’s boundary. Be sure to shade in an arc length of exactly. What is the angle measure in radians of this arc?

3. Can you describe the rough process of how we get the area of an arbitrary polygon knowing only its vertices not using the shoelace method?

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