Solve the following problems to demonstrate your understanding of area and circumference.
Each square below has a side length of 12 units.
(1.) Which figure has the largest shaded region?
(2.) Explain or show your reasoning.
Each square in Figures D and E has a side length of 1 unit.
(1.) Which figure has more area?
(2.) How much more area does it have?
(3.) Show your reasoning.
Find the area of the shaded region below. (Express your answer in terms of π.)
Exploring More on Area and Circumference of a Circle.
This is an exercise to show how the area and circumference of a circle change as the radius changes.
How many values did you find?
Circumference and Area (Exercise).
What is the area and circumference of a circle with the following given radius:
Find the area of this shape in two different ways. Show your reasoning.
The area of this field is about 500,000 m². What is the field’s area to the nearest square meter? Assume that the side lengths of the square are exactly 800 m.
Drag the slider slowly and try to find values of the radius that make the area and circumference equal.
Which of these pairs of quantities are proportional to each other?