Math test 5/22 deleon
Area of a regular polygon
A=1/2ap a=apothem p=perimeter
Area of a triangle
A=1/2bh
Area of a rhombus
A=1/2d1d2 where d1 and d2 are the diagonals it is one half their product
Area of a trapezoid
A=1/2h(b1+b2) the height multiplied by the bases added together then cut it all in half
area of a sphere
A=4πr²
Area of a parallelogram
A=bh
Area of a rectangle
A=bh
Area of a circle
A=πr²
circumfrence of a circle
C=2πr the outside of a circle
Lateral Area of a Right Prism
LA = Ph (Perimeter of base x height)
Lateral Area of a Cone
LA= 1/2 x 2πr x l (l=slant height) the lateral area of a cone is equal to half the circumference of the base mutiplied by the slant height
Lateral area of a regular pyramid
LA=1/2Pl
Lateral area of a cylinder
LA=2πrh The lateral area of a cylinder equals the circumference of a base times the height of the cylinder
slant height of a pyramid
the height of a lateral face of a pyramid
Lateral area of a prism
the sum of the areas of the lateral faces NOT the bases
Total area of a prism
TA=LA+2B
volume of a cone
V=1/3πr²h the volume of a cone is one third of the area of the base times the height of the cone
Volume of a sphere
V=4/3πr³
Volume of a right prism
V=Bh (area of base x height)
Volume of a cylinder
V=πr²h the volume of a cylinder equals the area of a base times the height of a cylinder
Apothem
a line segment that runs from the center of a regular polygon to the midpoint of one of its sides
Regular polygon
a polygon with all sides and all angles equal
Oblique prism
a prism that has at least one nonrectangular lateral face
Right prism
a prism whose lateral faces are all rectangles
regular pyramid
a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles
Volume of a pyramid
1/3 x area of base x height