Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

When constructing a cross tangent to two unequal circles (Page 16) with radii R and r, what specific radius is used to draw a circle from the center of the larger circle (O) to cut the semi-circle?
Options
A R
B r
C R-r
D R+r
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Page 16, step 4 for 'To Construct a Cross Tangent to Two UNEqual Circles' instructs: 'Draw a circle centre O with radius (R+r) to cut semi-circle at B.'

Hint

For a *common cross* tangent to unequal circles, the sum of the radii is often used.

Question Info