2011
Mathematics
67ca00ce0c643c71d77dee1f
A chord of circle of radius 7cm is 5cm from the centre of the circle.What is the length of the chord?
A.
4√6 cm
B.
3√6 cm
C.
. 6√6 cm
D.
2√6 cm
Correct Answer: 4√6 cm
Explanation
From Pythagoras theorem |OA|2 = |AN|2 + |ON|2 72 = |AN|2 + (5)2 49 = |AN|2 + 25 |AN|2 = 49 - 25 = 24 |AN| = √24 = √4 x 6 = 2√6 cm |AN| = |NB| (A line drawn from the centre of a circle to a chord, divides the chord into two equal parts) |AN| + |NB| = |AB| 2√6 + 2√6 = |AB| |AB| = 4√6 cm
From Pythagoras theorem |OA|2 = |AN|2 + |ON|2 72 = |AN|2 + (5)2 49 = |AN|2 + 25 |AN|2 = 49 - 25 = 24 |AN| = √24 = √4 x 6 = 2√6 cm |AN| = |NB| (A line drawn from the centre of a circle to a chord, divides the chord into two equal parts) |AN| + |NB| = |AB| 2√6 + 2√6 = |AB| |AB| = 4√6 cmTHIS WEEK's
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