Deriving Area of a Sector of a Circle[br][br]Objectives: [br]Derive a formula for area of a sector.[br]Use the formula to find area of a sector.[br]Use the formula in real world applications.[br][br]Your mission is to come up with a formula for area of a sector of a circle using the central angle of the sector.[br][br]Directions: Measure the radius (cm) of your cookie and find the area of the entire cookie (Area= πr^2). Check your answer with the GeoGebra Cookie Applet.

Cut your cookie in half. Eat one half of the cookie. What is the area of ½ of the cookie? Check your answer with the GeoGebra Cookie Applet by selecting [b]"Sector"[/b] [br][br][br][br]What is the measure of the central angle for half of the cookie?[br][br][br][br]Cut half of your cookie in half. What part of the entire cookie is this? What is the area of this sector (define)?[br][br][br][br]What is the measure of the central angle for this ¼ part of the cookie?[br][br][br][br]How can we use the central angle in a fraction that would help us get 1, ½ , ¼, … ?