passpadi

2013

Mathematics

JAMB

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

A.

8√3 cm

B.

4 cm

C.

8 cm

D.

8√2 cm

Correct Answer: 8√2 cm

Explanation

Length of chord =2rsin(θ/2) = 2 × 8 × sin(90/2) = 16 × √2/2 = 8√2cm

Length of chord =2rsin(θ/2) = 2 × 8 × sin(90/2) = 16 × √2/2 = 8√2cm
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