Two congruent circles each have radius

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Two congruent circles each have radius 5 cm5\,\text{cm}. In the first circle, chord MNMN subtends an angle of 65∘65^\circ at its centre. In the second circle, chord PQPQ also subtends an angle of 65∘65^\circ at its centre. Which of the following statements is correct about the lengths of MNMN and PQPQ? (a) MN>PQMN > PQ (b) MN=PQMN = PQ (c) MN<PQMN < PQ (d) The relation cannot be determined

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