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Educational articles and guides on calculations and standards
Mathematics
View Math Calculators →Geometry
How to Calculate Area of a Circle
Learn how to calculate the area of a circle using the radius or diameter. Step-by-step guide with examples.
How to Calculate Area of Shapes
Learn how to calculate the area of different geometric shapes including circles, squares, rectangles, and triangles with step-by-step examples.
Area vs Perimeter: What's the Difference
Understand the key differences between area and perimeter, when to use each, and how they relate to different geometric shapes.
How to Calculate Volume of 3D Shapes
Learn how to calculate the volume of three-dimensional shapes including cubes, spheres, cylinders, and cones with practical examples.
Pythagorean Theorem Explained with Examples
Learn the Pythagorean theorem, understand when and how to use it, and solve problems involving right triangles with step-by-step examples.
Algebra
How to Solve Linear Equations
Learn how to solve linear equations step by step, understand the methods, and apply them to real-world problems.
Quadratic Equation Explained Step by Step
Learn how to solve quadratic equations using the quadratic formula, understand the discriminant, and find real roots with detailed examples.
When a Quadratic Has No Real Roots
Understand when quadratic equations have no real solutions, what this means, and how to identify these cases using the discriminant.
Statistics
Mean, Median, and Mode Explained
Learn the differences between mean, median, and mode, when to use each measure of central tendency, and how to calculate them with examples.
What Is Standard Deviation
Learn what standard deviation measures, how to interpret it, and how to calculate it for both population and sample data.
How to Analyze a Dataset Step by Step
Learn a systematic approach to analyzing datasets, from basic statistics to identifying patterns and drawing conclusions.
Percentages
What is Percentage of a Number
Learn what percentage means and how to calculate a percentage of any number.
Guide: Percentage Calculations for Beginners
A comprehensive beginner-friendly guide to understanding and calculating percentages. Learn the basics and common applications.
How to Calculate Percentage of a Number
Learn how to calculate what percentage a number represents of another number, with step-by-step examples and common use cases.
Percentage Increase vs Percentage Change
Understand the difference between percentage increase and percentage change, when to use each, and how to calculate them correctly.
Common Percentage Mistakes
Avoid common errors when calculating percentages. Learn about frequent mistakes and how to prevent them with practical examples.
Other Topics
How to Calculate Loan Payment
Learn how to calculate your monthly loan payment using the standard loan formula.
Published: 1/1/2024
Estimation vs Engineering Design – What Calculators Can and Cannot Do
Understand the difference between early estimates and full engineering design so you can use calculators responsibly.
Published: 11/20/2024
Compatibility by Birth Date – How It Works
Learn how date-based compatibility scores are generated, when to use them, and how to combine them with other playful tools.
Published: 1/15/2025
Zodiac Compatibility Explained
Understand how the zodiac compatibility matrix works, what the score ranges mean, and how to combine it with numerology.
Published: 1/15/2025
How to Calculate Compound Interest
Learn how to calculate compound interest step by step. Understand the power of compounding and how it grows your investments over time.
Published: 1/15/2024
What is Annuity Formula?
Learn about the annuity formula used to calculate loan payments, mortgage payments, and regular investment contributions.
Published: 1/20/2024
How to Calculate ROI
Learn how to calculate Return on Investment (ROI) to measure the profitability and efficiency of your investments.
Published: 1/25/2024
How to Calculate Mortgage Payment
Learn how to calculate your monthly mortgage payment, understand amortization, and see how down payments and loan terms affect your payments.
Published: 2/1/2024
How to Save Money Effectively: A Complete Guide
Learn proven strategies for building your savings, maximizing compound interest, and reaching your financial goals faster.
Published: 2/2/2024
How to Compare Loan Offers
Learn how to compare loan offers effectively by understanding APR, total interest, fees, and total cost.
Published: 1/15/2024
How to Reduce Loan Interest
Learn strategies to reduce the total interest you pay on loans, including extra payments, shorter terms, and refinancing.
Published: 1/15/2024
How Mortgage Payments Work
Understand how mortgage payments are calculated, what PITI means, and how principal and interest change over time.
Published: 1/15/2024
How Much Emergency Fund Do You Need?
Learn how to determine the right size for your emergency fund based on your expenses, income stability, and financial goals.
Published: 1/15/2024
How Compound Interest Works
Understand compound interest, the eighth wonder of the world, and how it helps your money grow over time.
Published: 1/15/2024
What Is Net Worth and Why It Matters
Learn what net worth means, how to calculate it, and why it's a key indicator of financial health.
Published: 1/15/2024
How Retirement Planning Works
Learn the fundamentals of retirement planning, including how much to save, when to start, and how to calculate your retirement needs.
Published: 1/15/2024
Saving vs Investing: What's Better?
Understand the difference between saving and investing, when to use each, and how to balance both for financial success.
Published: 1/15/2024
Gross vs Net Income Explained
Understand the difference between gross and net income, what deductions affect your take-home pay, and how to calculate your net income.
Published: 1/15/2024
ROI Explained: Understanding Return on Investment
Learn what ROI is, how to calculate it, and how to use it to evaluate investments and business decisions.
Published: 1/15/2024
How to Build Savings Step by Step
Learn a practical step-by-step approach to building your savings, from setting goals to automating contributions.
Published: 1/15/2024
How Much Does It Cost to Own a Car?
Complete guide to calculating the true cost of car ownership including depreciation, insurance, fuel, maintenance, and more.
Published: 1/20/2024
How to Calculate Fuel Costs for Driving
Learn how to calculate fuel costs for trips, monthly driving, and annual expenses using fuel consumption rates.
Published: 1/20/2024
Lease vs Buy: Which Is Better?
Compare leasing vs buying a car to determine which option is better for your financial situation and driving habits.
Published: 1/20/2024
How Car Depreciation Works
Understand how car depreciation works, why cars lose value, and how to estimate depreciation for your vehicle.
Published: 1/20/2024
How Much Car Can You Afford?
Learn how to determine how much car you can afford based on your income, budget, and financial situation.
Published: 1/20/2024
What Are Structural Loads and Why They Matter
Understand dead, live, and environmental loads, why they shape foundations and slabs, and where estimation ends and engineering begins.
Published: 11/20/2024
Dead Load vs Live Load
Compare permanent and variable loads, understand their sources, and see how they influence structural sizing.
Published: 11/10/2024
Why Foundations Depend on Loads
See how structural load assumptions flow into footing width, slab thickness, and reinforcement decisions.
Published: 11/10/2024
Concrete Basics for Construction
Learn the fundamentals of concrete in construction, including mix ratios, volume calculations, and reinforcement basics.
Published: 1/25/2024
Foundation Types Explained: Strip, Slab, and Pile Foundations
Learn how strip, slab, and pile foundations share loads, when each option fits, and why geotechnical input matters.
Published: 11/20/2024
Soil Basics for Foundations
Understand how soil types, bearing capacity, and groundwater inform Russian foundation choices.
Published: 11/15/2024
When to Use Piles
Learn scenarios where piles help Russian projects deal with weak soils, uplift, or high water tables.
Published: 11/15/2024
Concrete Foundations Explained
Overview of how concrete materials, reinforcement, and curing affect Russian foundation practice.
Published: 11/15/2024
Concrete Mix Ratios Explained
Understand how different cement, sand, and aggregate proportions influence strength, workability, and durability.
Published: 11/5/2024
Concrete vs Reinforced Concrete – Key Differences Explained
Learn why plain concrete needs reinforcement, how steel and concrete share loads, and what that means for quick estimates.
Published: 11/20/2024
Rebar Estimation Basics
Learn how early-stage projects approximate reinforcement quantities before detailed structural design.
Published: 11/5/2024
Why Soil Investigation Matters for Foundations
Understand why soil assumptions are risky, how bearing capacity and settlement vary, and when testing becomes mandatory.
Published: 11/20/2024
US vs EU Structural Design Concepts – Educational Comparison
Learn the conceptual differences between US and European structural design approaches for educational purposes.
Published: 12/20/2024
How Calculators Abstract Building Standards Safely
Learn how online calculators simplify building standards for educational and early estimation purposes without implying compliance.
Published: 12/20/2024
Why Construction Calculators Differ by Region
Learn why construction calculators vary by region and how local assumptions influence early-stage estimates.
Published: 12/20/2024