Home Activity: Circumference & Area of Circles

A fun 10-minute activity to do with your child!

Dear Family,

Your child is learning to calculate the circumference (distance around) and area (space inside) of circles. These skills are used in everyday life - from figuring out how much fencing to buy for a circular garden to calculating how much pizza everyone gets! The activities below help your child see circles everywhere. No math expertise needed!

Activity 1: Circle Hunt & Measure 10 min

You'll Need:

  • String or measuring tape
  • Ruler
  • Paper and pencil
  • Calculator (optional)

Hunt for circular objects around your home: plates, cups, clocks, lids, cans, etc. Find at least 3 circles of different sizes.

For each circle, measure the DIAMETER (distance across the widest part). Record it.

Calculate the radius: Divide the diameter by 2.

Calculate the circumference using C = 3.14 x diameter

Check your math! Wrap string around the object and measure it. How close was your calculation?

Math Connection:

"The amazing thing is that for EVERY circle, if you divide the circumference by the diameter, you get the same number - about 3.14! This special number is called pi."

Activity 2: Pizza Math 5-10 min

You'll Need:

  • A pizza menu or pizza box with sizes listed
  • Calculator

Look at pizza sizes: Small (10"), Medium (12"), Large (14"), XL (16"). These are DIAMETERS!

Calculate the AREA of each size pizza using A = 3.14 x radius squared. (Remember: radius = diameter / 2)

Example: Medium pizza: r = 6", Area = 3.14 x 36 = 113.04 sq inches

Compare: Is a 16" pizza twice as much food as an 8" pizza? (Hint: It's actually 4 times more!)

Surprising Discovery:

"When you double the radius, the area becomes 4 times bigger, not 2 times! This is because you're squaring the radius. A large pizza is often a much better deal!"

Activity 3: Design a Circular Space 10 min

You'll Need:

  • Paper and pencil
  • Compass or circular object to trace

Imagine you're designing a circular space - a garden, pool, trampoline, or fire pit.

Choose a radius for your circle (example: 5 feet).

Calculate the circumference: How much edging/border material is needed? C = 2 x 3.14 x 5 = 31.4 feet

Calculate the area: How much space is inside? A = 3.14 x 25 = 78.5 sq feet

Extension: If border material costs $5 per foot, how much would your border cost? If mulch costs $2 per square foot, how much would filling the circle cost?

Questions to Ask Your Child

You're Making a Difference!

Understanding circles helps with everything from sports (shooting at circular hoops!) to cooking (baking round cakes!) to future careers in engineering, architecture, and science. By exploring circles together, you're showing your child that math is everywhere. Thank you for supporting their learning!

Para Familias Hispanohablantes:

Su hijo esta aprendiendo sobre circunferencia y area de circulos. La circunferencia es la distancia alrededor de un circulo (como una cerca alrededor de un jardin circular). Se calcula con C = pi x diametro o C = 2 x pi x radio. El area es el espacio dentro del circulo (como el cesped en el jardin). Se calcula con A = pi x radio al cuadrado. Pi es un numero especial, aproximadamente 3.14. El radio es la distancia del centro al borde. El diametro es la distancia de lado a lado a traves del centro (diametro = 2 x radio). Practiquen midiendo objetos circulares en casa - platos, tapas, relojes. Gracias por apoyar el aprendizaje de su hijo!