Question

In a 10 cm radius circle the length of chord which is 6 cm apart from the center of
circle​

Answer 1

Answer:

length of cord 16cm

Step-by-step explanation:

radius of circle 10cm

distance of chord from center 6cm

it makes two congruent triangle with hypotenuse equal to the radius 10cm and height 6cm

by Pythagoras theorem

${hyp}^{2} = {adj}^{2} + {h}^{2} \\ {10}^{2} = {adj}^{2} + {6}^{2} \\ 100 = {adj}^{2} + 36 \\ {adj}^{2} = 100 - 36 \\ {adj}^{2} = 64 \\ adj = \sqrt{64} \\ adj = 8$

the line from center to chord bisects the cord

therefore length of chord is

2 × 8 = 16cm