The area of an ellipse is 132cm2.The length of its major axis is 14cm.Find the length of it minor axis
A. 10.5cm B. 5cm C. 10cm D. 12cm
Correct Answer: D
Explanation
The area of an ellipse (e) =πab/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