Discovering Circles

Instructions
[left][color=#000000][b][/b][/color][/left][color=#000000]Introduction[br]In this activity, you will construct, label, and experiment with a circle.  In doing so, you will discover an important attribute of all circles. [br][br]Step 1[br]Use the CIRCLE tool to create a circle with Point A as its center.  [br][br]Step 2[br]After you create the circle, you have a center point (A) and a point on the circle (B). The distance between these two points defines the [i]radius[/i] of the circle. Use the DISTANCE tool to measure the radius of your circle.[br][br]For this experiment we need to measure the [i]diameter too.[/i][br][i][br]Challenge: Using[/i] the only tools available when you open the [i]GeoGebra[/i] file, can you find a way to construct the diameter of your circle? [/color][br][color=#000000]Try it on your own first, but if you can’t find a way, use the [i]See Hint…checkbox[/i] for the steps.[br][br]Step 3[br]Use the DISTANCE tool to measure the diameter of your circle. [br][br]By moving Point B to change the diameter of your circle, create five different circles and record the radius and diameter in the data table given below.[br][br]Use a calculator to divide the diameter by the radius. Record[br]this value in the third column on the data table.[/color]
Q1. Based on your observations, how would you describe the relationship between radius and diameter in words?
Q2. Can you write a rule or formula that connects the radius (r) and diameter (d)?
Q3. If you only know the diameter of a circle, how can you find the radius?
Q4. If a circle has a radius of 31.5 units, what is its diameter?
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Information: Discovering Circles