Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

To construct a common direct tangent to two unequal circles with radii R (larger) and r (smaller), what is the effective radius used to draw a circle from the center of the larger circle to intersect a semi-circle, as described on page 15?
Options
A R+r
B R-r
Correct Answer
C R * r
D R / r
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 15, step 4, states: 'Draw a circle centre O with radius R-r to cut semi-circle at B.' This reduced radius is used to find an auxiliary point that helps determine the tangent.

Hint

Look at 'To Construct a Common Tangent to Two UNEqual Circles' on page 15, specifically step 4 and the associated diagram labels.

Question Info