JAMB Mathematics 2019 Objective — Question 7
Question 7 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.
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Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8cm
- A. 8√3cm
- B. 8√3cm
- C. 4cm
- D. 8√2cmCorrect
Explanation
Splitting the isosceles triangle formed by the two radii and chord into two right triangles (each with a 45° angle at the centre): half-chord = 8sin45° = 8/√2. Full chord = 2×(8/√2) = 16/√2 = 8√2 cm.
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