Geometry Formula Sheet 2016 Mathematics Standards of Learning

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Geometry Formula Sheet 2016 Mathematics Standards of Learning Geometric Formulas b b1 h w h h b l b b2 1 1 Ab= h plw=+22 Abh= Ahbb=+() 2 2 12 Alw= Regular Hexagon B r h d h a s l w 33 A= s2 C= 2πr VBh= Vlwh= 2 Cd= π LA..= hp S.. A=++ 2 lw 2 lh 2 wh 1 Apa= Ar= π 2 SA..=+ hp2 B 2 r l r h h h l r B 4 1 1 Vrh= π 2 Vr= π 3 Vrh= π 2 VBh= 3 3 3 LA..= 2π rh SA..= 4π r2 LA..= π rl 1 SA..=+ 2π r2 2π rh LA..= lp SA..=+π r2 π rl 2 1 SA..=+ 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 [email protected]. GM_FormSht_2016_Pg2.eps 1 1/23/18 11:11 AM Geometry Formula Sheet 2016 Mathematics Standards of Learning Geometric Formulas c h h k r a o ( , ) θ b a o ab22c2 xh22 yk r2 += Sin θ = h ()()− + − = a Cos θ = h o Tan θ = a Quadratic Formula: −bac± b2 − 4 x = , where ax2 ++= bx c0 and a ≠ 0 2a Geometric Symbols Abbreviations Example Meaning Area A mA∠ measure of angle A Area of Base B C AB length of line segment AB Circumference Lateral Area L.A. AB ray AB Perimeter p AB CD Line AB is parallel to line CD. Surface Area S.A. AB AB CD Line segment is perpendicular Volume V ⊥ to line segment CD. ∠≅∠ABAngle A is congruent to angle B. ABC DEF Triangle ABC is similar to ∼ triangle DEF. 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 [email protected]..

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