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Formulas

Mensuration Formulas – IGCSE Maths

Every mensuration formula you need for Cambridge IGCSE Mathematics 0580, with clear explanations of when and how to use each one.

Circle

Core
A=πr2,C=2πrA = \pi r^2, \quad C = 2\pi r

Key formula for mensuration in IGCSE Maths.

When to Use

Use when working with mensuration problems.

Show your substitution clearly for method marks.

Sphere

Extended
V=43πr3,SA=4πr2V = \dfrac{4}{3}\pi r^3, \quad SA = 4\pi r^2

Key formula for mensuration in IGCSE Maths.

When to Use

Use when working with mensuration problems.

Show your substitution clearly for method marks.

Cone

Extended
V=13πr2h,Curved SA=πrlV = \dfrac{1}{3}\pi r^2 h, \quad \text{Curved SA} = \pi r l

Key formula for mensuration in IGCSE Maths.

When to Use

Use when working with mensuration problems.

Show your substitution clearly for method marks.

Cylinder

Core
V=πr2h,SA=2πrh+2πr2V = \pi r^2 h, \quad SA = 2\pi r h + 2\pi r^2

Key formula for mensuration in IGCSE Maths.

When to Use

Use when working with mensuration problems.

Show your substitution clearly for method marks.

Arc length = (θ/360) × 2πr

Core
Arc length=θ360×2πr\text{Arc length} = \dfrac{\theta}{360} \times 2\pi r

Key formula for mensuration in IGCSE Maths.

When to Use

Use when working with mensuration problems.

Show your substitution clearly for method marks.

Sector area = (θ/360) × πr²

Core
Sector area=θ360×πr2\text{Sector area} = \dfrac{\theta}{360} \times \pi r^2

Key formula for mensuration in IGCSE Maths.

When to Use

Use when working with mensuration problems.

Show your substitution clearly for method marks.

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Frequently Asked Questions

Which mensuration formulas are given in the exam?

Check the IGCSE formula sheet provided in your exam. Some mensuration formulas must be memorised.

How do I remember mensuration formulas?

Practice using them in past paper questions. Repeated application is more effective than rote memorisation.

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