The area of an ellipse is 132cm2. The length of its major axis is 14cm. Find the length of it minor axis.

Answer Details

The area of an ellipse (e) = $\frac{\pi ab}{4}$
Let a rep. the length of its major axis = 14cm
Let b rep. the length of its minor axis = ?
π = 3.142
Area of an ellipse = 132cm2
132 = (π14 × b) ÷ 4
132 = (3.142 × 14b) ÷ 4
3.142 × 14b =132 × 4
b = (1324 × 4) ÷ (3.142 × 14)
= 528/43.988
= 12cm
The length of its minor axis (b) = 12cm