Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

When constructing a curve of radius R tangential to a line and a circle of radius r (Page 19), what radius is used to draw an arc from the center of the given circle to intersect the parallel line?
Options
A R
B r
C R+r
Correct Answer
D R-r
Correct Answer

Option C is the correct answer.

Detailed Explanation

Page 19, step 2 for 'To Construct a Curve OF radius R Tangential to a Line and a Circle of radius r' specifies: 'From centre of circle, draw an arc, radius R+r to intersect the parallel line at O.'

Hint

Consider the distance from the center of the tangential curve to the center of the given circle.

Question Info