Question

the length of a tangent from a point 5 cm from the centre of the circle is 4 cm find the diameter of the circle​

Answer 1

Answer:

6 cm is diameter

Step-by-step explanation:

length of tangent = 4cm

distance from center = 5cm

we get a right angle triangle where distance from center 5cm becomes the hypotenuse, one of the side is 4cm

using Pythagoras theorem

${5}^{2} = {4}^{2} + {x}^{2} \\ 25 = 16 + {x}^{2} \\ {x}^{2} = 25 - 16 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ x = 3$

the radius we get as 3cm

diameter = 2 × radius

2 × 3 = 6cm

hope you get your answer