Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

For constructing a curve of radius R tangential to a given line and a circle of radius r (as shown on page 19), how is the center (O) of the tangential curve located relative to the given circle?
Options
A By drawing an arc of radius R-r from the center of the given circle.
B By drawing an arc of radius R+r from the center of the given circle to intersect a parallel line.
Correct Answer
C By drawing a line parallel to the given line at a distance R from the circle's center.
D By simply placing the center O at a distance R from the given line.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 19, step 2, instructs: 'From centre of circle, draw an arc, radius R+r to intersect the parallel line at O.' This combination of R+r is used when the curve wraps around the outside of the existing circle and is tangential to a line.

Hint

Check 'To Construct a Curve OF radius R Tangential to a Line and a Circle of radius r' on page 19, focusing on step 2 and the diagram.

Question Info