What are the 20 formulas in maths?
Mathematical problem-solving relies on fundamental formulas spanning algebra, geometry, trigonometry, and calculus that govern numerical relationships. Twenty essential mathematical formulas include the quadratic formula x=2a−b±b2−4ac for solving second-degree polynomials; the Pythagorean theorem a2+b2=c2 for right-angled triangles; the slope-intercept linear equation y=mx+b; the area of a circle A=πr2; the circumference of a circle C=2πr; the area of a triangle A=21bh; the volume of a cylinder V=πr2h; the volume of a sphere V=34πr3; the distance formula derived from coordinate geometry; the midpoint formula; the compound interest formula A=P(1+nr)nt; the exponential growth and decay models; basic trigonometric ratios including sine, cosine, and tangent; the sine rule and cosine rule for oblique triangles; the laws of exponents; logarithmic identity rules; the arithmetic progression nth term formula; the geometric progression sum formula; the derivative power rule in calculus; and the fundamental theorem of calculus linking integrals and derivatives.
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