Question 48
Circle TheoremsIn a circle radius r cm, a chord 16√3 cm long is 10 cm from the centre of the circle. Find, correct to the nearest cm, the value of r.
- A.22cm
- B.17cm
- C.16cm
- D.15cm
Show the answer and explanation
Answer: B (17cm)
Explanation
Half the chord is 8√3. r² = 10² + (8√3)² = 100 + 192 = 292, so r ≈ 17.1 ≈ 17 cm.