Mensuration class 10 NCRT

Basic Mensuration formul

Perimeter	Square Rectangle	P = 4a P = 2(l+b)
Circumference	Circle	C = 2 (pi) r
Area	Square Rectangle Triangle Trapezoid Circle	A = a2 A = l x b A = ½(b x h) A = ((b1 +b2 ) x h) / 2 A = pi x r 2
Surface Area	Cube Cylinder Cone Sphere	S = 6l2 S = 2 x pi x r x h S = pi x r x l S = 4 x pi x r 2
Volume	Cylinder Cone Sphere	V = bh V = bh/3 V = 4 x pi x r3 / 3
Pythagoras Theorem	a2 + b2 = c2
Distance Formula	d = sqrt[(x2 – x1)2 +(y2 – y1)2]
Slope of a line	m = y2 – y1 / x2 -x1
Mid- Point Formula	M = (x1 + x2 )/ 2 , (y1 + y2 )/ 2
Algebraic Formula	Pythagorean theorem Slope-intercept form of the equation of a line Distance formula Total cost Quadratic formula Laws of Exponents Fractional Exponents	a2 + b2 = c2 y = mx + c d = rt total cost = (number of units) × (price per unit) X = [-b ± sqrt(b2 – 4ac)] /2a am x b m = (a x b)mam x a n = (a)m+n a1/2 = sqrt a
Trigonometric Formulas	Sine Function Cosine Function Tangent Function	Sin x = Opposite/ hypotenuse Cos X = Adjacent/ Hypotenuse Tan x = opposite / Hypotenuse.