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Question
A chord is at a distance of 15 cm from the centre of the circle of radius 25 cm. The length of the chord is
Options
25 cm
20 cm
40 cm
18 cm
Solution
40 cm
Explanation;
Hint:
In the right triangle OAC,
AC2 = OA2 – OC2
= 252 – 152
= (25 + 15)(25 – 15)
= 40 × 10
AC2 = 400
AC = `sqrt(400)`
= 20
Length of the chord AB = 20 + 20 = 40 cm.
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