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102714 Geometry B Formula Sheet Perimeter: P = 2l + 2w or P = 2(l + w) Circumference: C = 2πr or C = πd Pythagorean Theorem: a 2 + b 2 = c 2 Pi (π) ≈ 3.14 or ≈ Distance Formula: d = ( x2 ! x1 )2 + ( y2 ! y1 )2 22 7 "y !y % Slope of a line: m = $ 2 1 ' # x2 ! x1 & ! x + x2 y1 + y2 $ , Midpoint Formula: # 1 & " 2 2 % Quadratic Formula: x = Standard Form of an Equation: Ax + By Point-Slope Form of an Equation: y ! y1 = m ( x ! x1 ) Simple Interest Formula: I = prt Slope-Intercept Form of an Equation: y = mx + b !b ± b 2 ! 4ac 2a When the vertex of an angle is outside of the circle, the measure of the angle formed is half of the difference of the intercepted arcs Special Circle Angles Vertical angles and their intercepted arcs: half of the sum of the arc measures is the measure of the angle Area Surface Area Rectangle: A = lw or A = bh 1 bh 2 1 Trapezoid: A = (b1 + b2 )h 2 1 Regular Polygon: A = aP 2 2 Circle: A = ! r Triangle: A = Sector of a Circle: A = m of arc • !r2 360° Volume Prism or cylinder: V = Bh Pyramid or cone: V = Sphere: V = 4 3 !r 3 1 Bh 3 Cube: SA = 6s 2 Cylinder (lateral): SA = 2πrh Cylinder (total): SA = 2! rh + 2! r 2 or SA = 2πr(h + r) Cone (lateral): SA = πrl Cone (total): SA = ! rl + ! r 2 Sphere: SA = 4! r 2 Trigonometry (Right Triangles) opposite side sin(!B) = hypotenuse adjacent side cos(!B) = hypotenuse opposite side tan(!B) = adjacent side The University of Texas at Austin K-16 Education Center