Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.

Assessment: JAMB UTME - Mathematics - 2013 Subject: General Mathematics

Question 1 Report

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.
Answer Details

Length of chord = 2rsin(θ2) 2 r sin ⁡ ( θ 2 )

= 2×8×sin(902) 2 × 8 × sin ⁡ ( 90 2 )

= 16×2√2 16 × 2 2

= 82–√cm

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