GeometryFormula

Geometry End-of-Course (EOC) Formula Sheet

Curated study set

End-of-Course (EOC) geometry exams are used by many states — Florida, North Carolina, Tennessee, and others — to assess a full year of high-school geometry. Because each state writes its own version, the exact reference sheet differs, but the underlying formula set is remarkably consistent. This preset assembles that common core of EOC geometry formulas into one clean, printable, interactive sheet.

The set covers the two-dimensional essentials — area of triangles, rectangles, parallelograms, trapezoids, and circles — alongside the three-dimensional workhorses: volume and surface area for prisms, cylinders, cones, spheres, and pyramids. It includes the coordinate-geometry trio of distance, midpoint, and slope, and the right-triangle toolkit of the Pythagorean theorem, the special right triangles, and SOH-CAH-TOA. The bonus section adds the rhombus, sectors, equations of a line, and the laws of sines and cosines for exams that reach further.

EOC exams tend to be application-heavy: expect word problems that ask you to choose the right formula and interpret the answer in context, rather than plug numbers into a bare equation. The best preparation is fluency with substitution, which is exactly what the interactive explorers behind each formula are designed to build — drag the shape, watch the value and the worked steps update, and the “which formula do I use?” instinct follows.

Because EOC standards vary, this preset is marked as a general set: always cross-check it against your own state’s official reference sheet, which your teacher or your state department of education publishes. Then trim the list to your course, pick A4 or US Letter, and print a focused two-column review sheet for the week before your exam.

A few examples of how much states differ: Florida’s B.E.S.T. end-of-course geometry assessment, North Carolina’s NC Math 2 and 3 exams, and Tennessee’s TNReady EOC each publish their own reference sheet with slightly different shape sets and notation. The geometry itself does not change from state to state — a cone’s volume is ⅓πr²h everywhere — so this general set is a reliable study base. Just confirm which formulas your particular exam hands you versus which you must memorize.

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2D shapes
3D solids
Coordinate geometry
Right triangles & trig

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Geometry End-of-Course (EOC) — Formula Sheet

Verified formulas · GeometryFormula.com

Rectangle
AreaA=l⋅wA = l \cdot w
PerimeterP=2(l+w)P = 2(l + w)
Diagonald=l2+w2d = \sqrt{l^2 + w^2}
Triangle
Area (base & height)A=12bhA = \tfrac{1}{2} b h
Area (Heron’s)A=s(s−a)(s−b)(s−c)A = \sqrt{s(s-a)(s-b)(s-c)}
Semiperimeters=a+b+c2s = \dfrac{a+b+c}{2}
PerimeterP=a+b+cP = a + b + c
Parallelogram
AreaA=bhA = b h
PerimeterP=2(a+b)P = 2(a + b)
Trapezoid
AreaA=12(a+b)hA = \tfrac{1}{2}(a + b)h
Medianm=a+b2m = \dfrac{a + b}{2}
Rhombus
AreaA=12d1d2A = \tfrac{1}{2} d_1 d_2
Sides=(d1/2)2+(d2/2)2s = \sqrt{(d_1/2)^2 + (d_2/2)^2}
PerimeterP=4sP = 4s
Circle
AreaA=πr2A = \pi r^2
CircumferenceC=2πrC = 2\pi r
Diameterd=2rd = 2r
Sector & arc
Sector area (degrees)A=θ360⋅πr2A = \dfrac{\theta}{360}\cdot \pi r^2
Sector area (radians)A=12r2θA = \tfrac{1}{2} r^2 \theta
Arc lengthL=θ360⋅2πrL = \dfrac{\theta}{360}\cdot 2\pi r
General prism
VolumeV=BhV = B h
Surface areaSA=2B+PhSA = 2B + Ph
Cylinder
VolumeV=πr2hV = \pi r^2 h
Lateral surfaceLSA=2πrhLSA = 2\pi r h
Surface areaSA=2πr(r+h)SA = 2\pi r(r + h)
Cone
Slant heightℓ=r2+h2\ell = \sqrt{r^2 + h^2}
VolumeV=13πr2hV = \tfrac{1}{3}\pi r^2 h
Lateral surfaceLSA=πrℓLSA = \pi r \ell
Surface areaSA=πr(r+ℓ)SA = \pi r(r + \ell)
Sphere
VolumeV=43πr3V = \tfrac{4}{3}\pi r^3
Surface areaSA=4πr2SA = 4\pi r^2
Pyramid
Slant heightℓ=(b/2)2+h2\ell = \sqrt{(b/2)^2 + h^2}
VolumeV=13b2hV = \tfrac{1}{3} b^2 h
Lateral surfaceLSA=2bℓLSA = 2 b \ell
Surface areaSA=b2+2bℓSA = b^2 + 2 b \ell
Distance formula
Distanced=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
Midpoint formula
MidpointM=(x1+x22,y1+y22)M = \left(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\right)
Slope
Slopem=y2−y1x2−x1m = \dfrac{y_2 - y_1}{x_2 - x_1}
Equations of a line
Slope-intercepty=mx+by = mx + b
Point-slopey−y1=m(x−x1)y - y_1 = m(x - x_1)
StandardAx+By=CAx + By = C
Pythagorean theorem
Right trianglea2+b2=c2a^2 + b^2 = c^2
Special right triangles
45–45–90x:x:x2x : x : x\sqrt{2}
30–60–90x:x3:2xx : x\sqrt{3} : 2x
Trig ratios (SOH-CAH-TOA)
Sinesin⁡θ=opphyp\sin\theta = \dfrac{\text{opp}}{\text{hyp}}
Cosinecos⁡θ=adjhyp\cos\theta = \dfrac{\text{adj}}{\text{hyp}}
Tangenttan⁡θ=oppadj\tan\theta = \dfrac{\text{opp}}{\text{adj}}
Law of sines
Law of sinesasin⁡A=bsin⁡B=csin⁡C\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}
Law of cosines
Law of cosinesc2=a2+b2−2abcos⁡Cc^2 = a^2 + b^2 - 2ab\cos C
Free printable geometry formulas · GeometryFormula.com · CC BY-SA 4.0

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Frequently asked questions

What formulas are on the EOC sheet?

“End-of-Course” geometry exams vary by state. This is a general high-school EOC geometry set; confirm against your state’s official reference sheet. Use the builder to see every formula, add bonus formulas, and print a clean A4 or US Letter copy.

Is this EOC formula sheet free to print?

Yes — no sign-up, no watermark, no cost. Print it or save it as a PDF from your browser as often as you like.

Can I customize the sheet?

Yes. The preset pre-checks the aligned formulas; you can add or remove any formula, switch paper size, and copy a shareable link to your exact sheet.