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Question
The chord of length 30 cm is drawn at the distance of 8 cm from the centre of the circle. Find the radius of the circle
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Solution
Distance AC = `1/2 xx "Length of chord"`
= `1/2 xx 30`
= 15 cm
Distance from the centre = 8 cm
In ΔOAC Radius (OA) = `sqrt("AC"^2 + "OC"^2)`
= `sqrt(15^2 + 8^2)`
= `sqrt(225 + 64)`
= `sqrt(289)`
= 17
Radius of the circle = 17 cm.
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