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Junior Cycle Graphics: Tangents & circles in contact

How often Tangents & circles in contact comes up on the Graphics papers, every year it was asked, and questions to try.

CL Asked on 5 of the last 5 Common Level papers, most recently in 2026. banker

Tangents & circles in contact, Common Level(8 marks)

Quick ones on Tangents & circles in contact.

(a)At its point of contact, a tangent meets the radius at what angle?
  1. 45°
  2. 90°
  3. 180°
(b)Circles of radius 30 mm and 18 mm touch externally. How far apart are their centres?
  1. 96 mm
  2. 12 mm
  3. 48 mm
(c)Where does the point of contact of two touching circles lie?
  1. On the line joining their centres
  2. At the top of the smaller circle
  3. Halfway between their centres
Show the answers

(a) 90°

(b) 48 mm

(c) On the line joining their centres

Your turn: Common Level questions on Tangents & circles in contact.

Common Level

Asked on 5 of the last 5 Common Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q4c
2025Q4d
2024Q2c, Q4e
2023Q1d, Q4b
2022Q4c, Q5c

Links open the State Examinations Commission’s paper for that year.

Other Graphics topics

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