Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

When constructing a tangential curve of radius R internally to two circles of radii r1 and r2 (page 21), 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 and R
C r1 and r2
D R-r1 and R-r2
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Page 21, step 3 states: 'With centre A and radius R-r1, draw an arc' and step 4 states: 'With centre B and radius R-r2, draw an arc to intersect the first arc at O.'

Hint

Refer to steps 3 and 4 under 'To Construct a Curve Tangential to Two Circles' for internal tangency.

Question Info