Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

To construct an external tangential curve of radius R to two given circles of radii r1 and r2 (Page 20), what radii are used for the arcs drawn from the centers A and B of the given circles to find the center O of the tangential curve?
Options
A R-r1 and R-r2
B R+r1 and R+r2
Correct Answer
C r1 and r2
D R and R
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 20, steps 2 and 3 for 'To Construct a Curve Tangential to Two Circles' (external case) state: 'With centre A and radius R+r1, draw an arc' and 'With centre B and radius R+r2, draw an arc to intersect the first arc at O.'

Hint

For external tangency, the distance between centers is usually the sum of radii.

Question Info