Geometry Formula Sheet
2016 Mathematics Standards of Learning
Geometric Formulas
b
h
w
b
p = 2l + 2w
A = lw
2
h
h
b2
b
l
A = 1 bh
b1
A = 1 h(b1 + b2 )
A = bh
2
Regular Hexagon
B
d
a
h
r
h
s
l
A = 3 3 s2
2
A = 1 pa
2
C = 2π r
C = πd
A = πr2
V = Bh
L.A. = hp
S.A. = hp + 2 B
r
r
h
V = 4 πr3
3
S.A. = 4π r 2
V = lwh
S.A. = 2lw + 2lh + 2wh
l
h
h
r
V = πr 2h
L.A. = 2πrh
S.A. = 2πr 2 + 2πrh
w
V = 1 πr 2h
3
L.A. = πrl
S.A. = πr 2 + πrl
l
B
V = 1 Bh
3
L.A. = 1 lp
2
S.A. = 1 lp + B
2
Copyright ©2018 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120. All rights reserved. Except as
permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by
any information storage or retrieval system, without written permission from the copyright owner. Commonwealth of Virginia public school educators may
reproduce any portion of this mathematics formula sheet for non-commercial educational purposes without requesting permission. All others should direct their
written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or by email to
Student_Assessment@doe.virginia.gov.
Geometry Formula Sheet
2016 Mathematics Standards of Learning
Geometric Formulas
c
a
h
θ
b
o
r
a
o
h
a
Cos θ =
h
o
Tan θ =
a
Sin θ =
a2 + b2 = c2
(h, k)
( x − h)2 + ( y − k )2 = r 2
Quadratic Formula:
−
2
x = b ± b − 4 ac , where ax2 + bx + c = 0 and a ≠ 0
2a
Geometric Symbols
Example
Meaning
m∠ A
AB
AB
AB CD
measure of angle A
length of line segment AB
ray AB
Line AB is parallel to line CD.
Line segment AB is perpendicular
to line segment CD.
Angle A is congruent to angle B.
∠A ≅ ∠B
Triangle ABC is similar to
ABC ∼ DEF triangle
DEF.
AB ⊥ CD
Abbreviations
Area
A
B
Area of Base
Circumference C
L.A.
Lateral Area
p
Perimeter
S.A.
Surface Area
V
Volume
Copyright ©2018 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120. All rights reserved. Except as
permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by
any information storage or retrieval system, without written permission from the copyright owner. Commonwealth of Virginia public school educators may
reproduce any portion of this mathematics formula sheet for non-commercial educational purposes without requesting permission. All others should direct their
written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or by email to
Student_Assessment@doe.virginia.gov.