Area of an Oval Calculator

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.