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प्रश्न
Draw a circle of radius 5 cm. Mark a point P outside the circle at a distance of 7 cm from the centre. Construct two tangents from P to the circle. Measure and write down the length of one tangent.
ज्यामितीय चित्र
योग
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उत्तर
A circle of radius 5 cm is drawn with centre O.
Point P is marked 7 cm away from O.
Two tangents, PA and PB, are constructed from point P to the circle.
Length of Tangent
Tangent length = `sqrt(OP^2 − r^2)`
= `sqrt(72−52)`
= `sqrt(49−25)`
= 24 ≈ 4.9 cm
Length of each tangent = 4.9 cm (approximately).
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