Question

the radius of a circle is 5cm.The perpendicular distance from the centre of the circle to the chord which is 8cm in length is a.2cm b.3cm c.4cm d. 5cm​

Answer 1

Answer:

b. 3cm

Step-by-step explanation:

join the centre and the point where the chord meets the circumference, since it is the radius, it's length is 5cm, now join the centre and mid point of chord whose length will be half of the chord, that is 4cm.

this forms a right angle triangle with hypotenuse 5cm, one side is 4cm, and the other side is the perp. distance. so let X be the perp. distance.

${x}^{2} + {4}^{2} = {5}^{2}$

${x}^{2} = {5}^{2} - {4}^{2}$

$x = \sqrt{25 - 16} = \sqrt{9} = 3$

so, X=3 cm

so perpendicular distance is 3 cm.

this is the correct answer.

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