NMT / ZNO

Formulas and reference

A compact mathematics reference in two levels: the NMT exam sheet and the full ZNO formula set.

ZNO — full reference · Geometry · 9 formulas
Full ZNO Expanded school formula set. The “NMT” badge marks formulas also present on the compact sheet.
Circle and disk

Circle

Circumference

NMT
\[L=2\pi R\]
7–11 grade

Arc length

\[l=\frac{\alpha}{360^\circ}\,2\pi R\]
8–11 grade

Chord length

\[AB=2R\sin\frac{\alpha}{2}\]
9–11 grade

Inscribed angle

\[\angle ACB=\frac12\overset{\frown}{AB}\]
8–11 grade

Radius to the point of tangency

\[OT\perp t\]
7–11 grade

Intersecting chords theorem

\[PA\cdot PB=PC\cdot PD\]
8–11 grade

Tangent–secant theorem

\[PT^2=PA\cdot PB\]
8–11 grade
Circle and disk

Circle area

Area of a circle

NMT
\[S=\pi R^2\]
7–11 grade

Area of a sector

\[S_{\rm сектора}=\frac{\alpha}{360^\circ}\pi R^2\]
8–11 grade