Question on: JAMB Mathematics - 2015
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
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Correct Option: D
The area of an ellipse (e) =Ï€ab/4
Let a rep. the length of its major axis = 14cm
Let b rep. the length of its minor axis = ?
Ï€ = 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
Let a rep. the length of its major axis = 14cm
Let b rep. the length of its minor axis = ?
Ï€ = 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
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