Area of a Circle
Below, 2 congruent circles are shown. Press the START THE SHOW button and carefully watch the dynamics that take place.
Was the triangle formed truly a triangle? Explain why or why not.
What would we need to do to the number of "peels" in order to make this so-called triangle look more smooth (closer to a true triangle)?
What part of the original circle is the base of this "triangle"?
What part of the original circle is the height of this "triangle"?
Without Googling, write an expression that gives the area of circle in terms of its circumference and radius. HINT: LOOK AT THE BOARD
Suppose an above-the-ground circular swimming pool has a radius of 12 feet. What is the area of the surface of the water?
Suppose a circular track (that surrounds grass) has a circumference of 500 feet. 1) Use the circumference to calculate the diameter of the track 2) Use the diameter to calculate the radius of the track 3) Use the radius to calculate the area