To find the area and the perimeter of composite shapes you have to split the shapes up into smaller shapes such as square or triangles. After you split up the shapes you find the individual area or perimeter of those shapes.
The Pythagorean The Theorem
The Pythagorean theorem can be used to find any side of a right angle triangle. There are three different formulas for the Pythagorean theorem (a^2+b^2=c^2, c^2-b^2=a^2 and c^2-a^2=b^2) side c is always the longest side/the hypothenuse.
Slant Height and Regular Height
The slant height can be used to find the surface area of a 3-D shape such as cubes or pyramids. The regular height can be used to find the volume of 3-D shapes such as cubes and cones.
Area, Volume and Perimeter
Area is the surface of a 2-D shape, every shape has a different formula to find the area but they all find how much space the shape takes up. The unit for area is cm^2 or any other measurement. The perimeter of a shape is the space the outline of the 2-D shape takes up. Perimeter is found by adding up all the side lengths.
Angles
In geometry, there are 5 different types of angles, obtuse, acute, straight, right and reflex. Obtuse angles are more than 90 degrees. Acute angles are less than 90 degrees. Straight angles are 180 degrees. Right angles are 90 degrees. Reflex angles are greater than 90 degrees.
Spheres and Circles
Area of Sphere and circles
Perimeter of Circles
To find the area of a circle or sphere you need to have the radius. The radius is the length of the circles divided by 2. Area of sphere= 4(3.14/pi)r^2. Area of circle= (3.14)r^2.
To find the perimeter you need pi and the radius. Pi is 3.14 and radius is half the length of the circle. perimeter of circle= 2(3.14/pi)r.
Triangles
The mid-point is the point that divides a line segment into 2 equal segments. The median is the line segment that joins a vertex of a triangle to the mid-point of the opposite side.
Angle Relationships
The sum of the inner angles of a quadrilateral is 360 degrees. The sum of the butter angles of a quadrilateral is 360 degrees. The sum of a triangles angles is 180 degrees.
