a point P is 25 cm from the centre of a circle and the length of a tangent drawn from P to circle is 2 centimetre find the radius of the second
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Let the center of the circle be C.
Let the tangent from point P onto circle touch the circle at T. So CT is a radius of the circle.
Given PT = 2cm. PC = 25cm.
Triangle PTC is a right angle triangle at T. As per Pythagoras theorem,
PT² + TC² = PC²
2² + TC² = 25²
TC² = 625 - 4 = 621
TC = radius = √621 cm
Let the tangent from point P onto circle touch the circle at T. So CT is a radius of the circle.
Given PT = 2cm. PC = 25cm.
Triangle PTC is a right angle triangle at T. As per Pythagoras theorem,
PT² + TC² = PC²
2² + TC² = 25²
TC² = 625 - 4 = 621
TC = radius = √621 cm
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