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Area of an Oval Calculator
Welcome to our Area of an Oval Calculator page.
We explain how to find the area of an oval and provide a quick calculator to work it out for you, step-by-step.
There are also some worked examples and some worksheets for you to practice this skill.
Quicklinks to ...
Area of an Oval Calculator
This calculator finds the area of an oval when the lengths of the major and minor radii (or major and minor diameters) are known.
How the Calculator Works
- Choose the major axis length and minor axis length of the oval: you can choose a whole number, decimal or fraction.
- You can type a fraction by typing the numerator then '/' then the denominator.
- You can type a mixed number by typing the whole-number part, then a space then the fraction part.
- Examples: 2 1/2 (two and one-half); 3 4/5 (three and four-fifths); 7 1/3 (seven and one-third).
- Choose your units of measurement (default is none)
- Choose your desired accuracy (default is 2 decimal places)
- Click the Find Area button
- You will be shown the area as a decimal (and also a fraction if you typed the length as a fraction).
Area of an Oval Formula
The formula for the area of an oval, or ellipse, is: \[ A = \pi ab \; \]
where A is the area of the oval, a is the major radius length and b is the minor radius length of the oval
Area of an Oval Examples
Area of an Oval Example 1
Find the area of the oval below, giving your answer to 1 decimal place.
The major radius length is 7 cm and the minor radius length is 4 cm.
The formula for the area of an oval is: \[ A = \pi ab \; \]
So if we substitute the values of the radii into this equation, we get: \[ A = \pi \cdot 7 \cdot 4 = \pi \cdot 28 = 28 \pi = 87.964...\]
The area of the oval is 88.0 cm2 to 1 decimal place.
Area of an Oval Example 2
Find the area of the oval below, giving your answer to 1 decimal place.
The major radius length is 14 inches and the minor radius length is 5 inches.
The formula for the area of an oval is: \[ A = \pi ab \; \]
So if we substitute the values of the radii into this equation, we get: \[ A = \pi \cdot 14 \cdot 5 = \pi \cdot 70 = 70 \pi = 219.9114.....\]
The area of the oval is 219.9 in2 to 1 decimal place.
Area of an Oval Example 3
Find the area of the oval below, giving your answer to the nearest whole cm2.
The major diameter length is 7.6 cm and the minor diameter length is 4.8 cm.
To find the major and minor radii, we need to halve the diameters.
This means that the major radius length is 7.6 ÷ 2 = 3.8 cm
The minor radius length is 4.8 ÷ 2 = 2.4 cm.
The formula for the area of an oval is: \[ A = \pi ab \; \]
So if we substitute the values of the radii into this equation, we get: \[ A = \pi \cdot 3.8 \cdot 2.4 = \pi \cdot 9.12 = 9.12 \pi = 28.6513....\]
The area of the oval is 29 cm2 to the nearest whole cm2.
Area of an Oval Example 4
Find the area of the oval below, giving your answer to 1 decimal place.
The major diameter length is 12 ½ inches and the minor diameter length is 6 ½ inches.
To find the major and minor radii, we need to halve the diameters.
This means that the major radius length is 12 ½ ÷ 2 = 6 ¼ inches
The minor radius length is 5 ½ ÷ 2 = 2 ¾ inches.
The formula for the area of an oval is: \[ A = \pi ab \; \]
So if we substitute the values of the radii into this equation, we get: \[ A = \pi \cdot 6 {1 \over 2} \cdot 2 {3 \over 4} = \pi \cdot {13 \over 2} \cdot {11 \over 4} = {143 \over 8} \pi .\]
The area of the oval is 56.2 in2 to 1 decimal place.
Area of an Oval Worksheets
We have 2 worksheets to help you practice finding the area of different ovals.
The first sheet is slightly easier, and contains radius measurements only.
The second sheet contains both radius and diameter measurements.
More Recommended Math Worksheets
Take a look at some more of our worksheets similar to these.
More Area & Volume Calculators
We have a range of area and volume calculators to help you find the area and volumes of a range of different 2d and 3d shapes.
Each calculator page comes with worked examples, formulas and practice worksheets.
Looking for more area worksheets?
We have a wide selection of area and volume worksheets on our site.
Each worksheets comes with an answer sheet and also there are worked examples on each webpage to show you how to find the area.
How to Print or Save these sheets 🖶
Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!
How to Print or Save these sheets 🖶
Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!
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