Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question

Question

If a cone is formed by rotating a right-angled triangle with an apex and angled θ, what is the apex angle of the cone?
Options
A θ
B 2θ
Correct Answer
C θ/2
D 90 - θ
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 2 states: 'The apex angle of a cone is 2θ.' This refers to the angle of the original right-angled triangle at the apex before rotation. When rotated about the altitude, the full angle at the cone's apex will be twice this angle.

Hint

The rotation creates a symmetrical shape, effectively doubling the initial angle to form the full cone's apex angle.

Question Info