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Geometry Formulas
Triangle Formula
Pythagorean Theorem �� � �� � ��
45º-45º-90º Phenomenon �: �: �√2
h=�√2
30º-60º-90º Phenomenon � � �√3
�: �√3: 2�
Perimeter s1+s2+s3
Area of any Triangle 12 ���
Area of Isosceles Triangle 12 �����
Area of Right Triangle 12 �� � ���
Area of Equilateral Triangle ��√3
4
Square Formula
Perimeter 4S
Area #1 S2
Area #2 12� ���������
Relationship between Side & Diagonal � ��
√2
D = S2
Rectangle Formula
Perimeter 2 � � ��
Area #1 � � �
Relationship between Side & Diagonal ���� !� � ��" !� � ���������
Parallelogram Formula
Perimeter 2 � � ��
Area � � �
Rhombus Formula
Perimeter 4�
Area #1 � � �
Area #2 12 "� � "��
Trapezoid Formula
Perimeter �� � �� � �� � ��
Area 12 ����� � ������ � ����!
Circumference Formula
Circumference #1 #"
Circumference #2 2#$
Diameter %#
Radius %2#
Arc of Circle Formula
Arc Length (Central) ���$��� �' %�� $�� (����
360º� %
Arc Length (Inscribed) 2 � ���$��� �' ,���$���" (����
360º� %
Arc of Circle Formula
Arc Measure (Intersecting Chords) [1] - . �- / �(%0 � ��0
2
Arc Measure (Intersecting
Secants/Tangents) [2] - % �(�0 � ��0
2
Perimeter of Sector of Circle Arc Measure + 2r
A
C
D
B
P Q
A
B
C
D
1 2
Circle Formula
Area of Circle #1 #$�
Area of Circle #2 #"�
4
Sector of Circle Formula
Area of Sector ���$��� �' %�� $�� (����
360º� ($�� %�$���
Rectangular Solids Formula
Area of Front & Back Faces 2 ���� ! � ����! �
Area of Top & Bottom Faces 2 ���� ! � ��" !�
Area of Front & Back Faces 2 ��" ! � ����! �
Total Surface 2 �� � �� � ���
Diagonal � � 1�� � �� � ��
Cube Formula
Area of Cube 6��
Volume �2
Diagonal � � �√3
� ��
√3
Cylinder Formula
Area of Top & Bottom Circular Bases #$� � #$� � 2#$�
Lateral Surface Area 2#$!
Total Surface Area 2#$� � 2#$!
Volume #$�!
Cone Formula
Surface Area #$� � #$�
Volume of Cone 13#$�!
1/3 (area of Cylinder)
Sphere Formula
Surface Area 4#$�
Volume 43#$2
Coordinate geometry Formula
Distance 1 �� 3 ���� � 4� 3 4���
Mid-point �� � ��
2,4� � 4�
2�
General Form 4 � 6� � �
Slope
4� 3 4�
�� 3 ��
