Question 17
Circle TheoremsA chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord.
- A.2√21 cm
- B.√42 cm
- C.2√19 cm
- D.√21 cm
Show the answer and explanation
Answer: A (2√21 cm)
Explanation
The perpendicular from the centre bisects the chord. Half-chord = √(25 − 4) = √21, so the chord = 2√21 cm.