Question 58
MediumOriginal questionO is the centre of a circle, and P and Q are points on it with (the angle at the centre facing the minor arc PQ). R is a point on the minor arc PQ. What is ?
Show the answer and explanation
CorrectNot quiteAnswer D
Correct answer: D
Explanation
Since R is on the minor arc, stands on the MAJOR arc PQ.
The angle at the centre on the major arc is .
.
Worth noting
62° is the angle at a point on the MAJOR arc. The two answers always add to 180° because P, R, Q and a point on the major arc form a cyclic quadrilateral.
- Concept
- Angle at the centre is twice the angle at the circumference
- Typical timeTypical
- 70 s
- Your timeYours
- —
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