Skip to content

Course home

Circle Theorems

Circle Theorems

EasyMedium
12345678910111213141516171819202122232425262728293031323334353637383940
Question 9

A geometric diagram showing a circle with center O. A line ARB is tangent to the circle at point R. Points P and Q are on the circle. Line segments RP, RQ, and OQ are drawn. A line segment PQ is also drawn. There are single tick marks on segments PQ and QR, indicating they are equal in length. The angle ARP is labeled as a degrees.

PPP, Q Q\,Q and R R\,R are points on a circle, centre OOO. ARB ARB\,ARB is a tangent to the circle at RRR.

PQ=QRPQ = QRPQ=QR Angle ARP=a∘ARP = a^\circARP=a∘

Find the size of angle ORQORQORQ, in terms of aaa. Give reasons for each stage of your working.

[5]
Markscheme

Circle Theorems Questions

  1. GCSE
  2. /Maths
  3. /Circle Theorems

59 exam-style questions on Eduqas GCSE Maths Circle Theorems. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank