1. Give an example of each circle part using the diagram below. a) Center: G b) Radius: c) Chord: K. d) Diameter: e) Secant: ) Tangent: g) Point of Tangency:

A person is remodeling the front entrance to his home and needs to cut an arch for the top of an entranceway. The arch needs to be 24 ft wide and 6 ft high. To draw the​ arch, he will use a stretched string with chalk attached at an end as a compass.   ​a) Using a coordinate​ system, locate the center of the circle. ​b) What radius should the person use to draw the​ arch?

Consider a circle with point (2, -3) as its center and point (-1, 1) on the circle, and answer the following questions. a) What is the radius of the circle? b) Is point (4,3) outside, inside, or on the circle? c) Is point (1,5) outside, inside, or on the circle? 5. Consider an upright rectangle (i.e., a rectangle with two sides parallel to the y axis) with (x1, y1) as its top-left corner and (x2, y2) as its bottom-right corner, and a circle with center (a, b) and radius r. Read these points and determine if the circle is completely inside, outside or partially overlapping with the rectangle. Draw a flowchart to show the algorithm.