Formula Bank
Surface Area of Sphere = 4πr²
Volume of Sphere = 4/3πr³
CSA of Sphere = 4πr²
Area of Circle = πr²
Circumference of Circle = 2πr
CSA of Cube = 4a²
TSA of Cube = 6a²
Volume of Cube = a³
CSA of Cuboid = 2h(l + b)
TSA of Cuboid = 2(lb + bh + lh)
Volume of Cuboid = l × b × h
CSA of Cylinder = 2πrh
TSA of Cylinder = 2πr(h + r)
Volume of Cylinder = πr²h
CSA of Hemisphere = 2πr²
TSA of Hemisphere = 3πr²
Volume of Hemisphere = (2/3)πr³
AP nth term (Tn) = a + (n-1)d
Sum of n terms in AP = n/2[2a + (n-1)d] = n/2[a + l]
Area of Triangle = 1/2 × base × height
Trigonometric Ratios: sin θ = P/H, cos θ = B/H, tan θ = P/B
Quadratic Formula: x = [-b ± √(b² – 4ac)]/2a
Distance Formula = √[(x₂-x₁)² + (y₂-y₁)²]
Section Formula = (x₁ + mx₂)/(1 + m)
Area of Sector = (θ/360°) × πr²
Length of Arc = (θ/360°) × 2πr
Area of Segment = Area of Sector – Area of Triangle