CC Geometry Name______Area, Perimeter, Circumference Date______Block______
Area: The amount of space inside the boundary of a flat, 2-dimesional, figure.
Perimeter: The distance around the outside of a 2-dimensional figure.
Circumference: The distance around the outside of a circle
Height(altitude): The height is always perpendicular to the base.
Shape Area Formula
Triangle
Rectangle
Square
Parallelogram
Trapezoid
Circle
Examples:
1) Find the area of each figure. a) b) c)
2) Find the area of each circle. a) To the nearest tenth b) In terms of π
3) Find the area of a circle whose circumference is 18휋. Round your answer to the nearest tenth.
4) Find the perimeter of each figure. a) b)
Finding Area of Irregular Shapes **Break up the shape into smaller well known shapes**
1) 2)
3) 4)
Finding the Area of a Shaded Region Subtract! Area of the whole minus the area of the non-shaded parts.
1) 2)
3) Round to the nearest tenth. 4) Round to the nearest tenth.
Word Problems
1) An arched window has the shape of a rectangle with a semicircle on top, as shown in the diagram. The window needs to be prepped for the winter months. a) How much weather stripping is needed to surround the outer edge of the window to the nearest foot?
b) How much plastic covering is needed to cover the window, following the outline, to the nearest tenth of a square foot?
2) A farmer has 5000 feet of barbed wire to enclose a rectangular pasture. If the length of the pasture is 100 feet more than the width, what is the area of the pasture?
3) A jeweler needs to make perfectly circular necklaces. Each necklace needs to have a radius of 9cm. How many necklaces can the jeweler make with 1500cm of wire?
4) A rectangular garden is 12ft by 6ft. It is surrounded by a walkway that is 2ft wide. How many square feet does the walkway cover?