Question

In the ellipse, if c=6cm, and b=8cm, what is the length of the major axis?

A)10.58cm
B)10cm
C)20cm
D)21.16cm

Answer 1

Option B). 10 cm

Explanation:

Distance between center and the focus of an ellipse is given by the formula,

c² = a² - b²

where, a = length of the major axis

b = length of the minor axis

and c = distance between focus and center

If c = 6 cm, b = 8 cm,

6² = a² - 8²

a² = 6² + 8²

a² = 36 + 64

a² = 100

a = 10 cm

Therefore, length of the major axis is 10 cm.

Option (B) is the answer.