Measurement Flashcards
Circumference for Circle formula
C = 2ℼr
Area of Circle
A = ℼr^2
Arc definition
Is a part of a circle which joins any two different points. It can be measured using the angle θ subtended by the points at the centre
Arc length formula
( θ/360) x 2ℼr
Sector definition
the region between two radii of a circle and the arc between them.
Perimeter of Sector formula
two radii + arc length
= 2r + ( θ/360) x 2ℼr
Definition of Surface Area
of a three-dimensional figure with plane faces is the sum of the areas of the faces
Area of Cylinder Formula
A = curved surface + 2 circular ends
= 2ℼrh + 2ℼr^2
Area of Sphere formula
A = 4ℼr^2
Area of Cone formula
A = curved surface + circular base
= ℼrs +ℼr^2
s is slope
Formula for volume of any solid of uniform cross-section
Volume = area of cross-section x length
Volume of Sphere formula
Volume = (4/3) ℼr^3
Area of a trapezoid
A = 1/2(a+b)h
a and b are the parallel sides
h is the height
Volume of a cuboid
V = lwh
l is the length
w is the width
h is the height
Area of the curved surface of a cylinder
A = 2ℼrh
Formula for distance between two points
x_1, y_1) (x_2, y_2
d=√((x_2-x_1)²+(y_2-y_1)²)
Coordinates of the midpoints of a line segment with endpoints
(x1 + x2)/2, (y1 + y2)/2
Volume of a right cone
V = ℼr^2 h/3
Area of the curved surface of a cone
A = ℼrl
l is the slant height
length of an arc
l = rθ
Area of a sector
A = (θ/360º) × πr^2
1 cm^3 is equal to
1 mL
1 m^3
1 kL or 1000 L
Area of hexagon
Area of hexagon = (1/2) × a × P; where ‘a’ is the length of the apothem and ‘P’ is the perimeter of the hexagon
Area of a sector w/ radian
A = 1/2r^2 θ
