Question

in a circle, a chord 1cm away from the centre is 6 cm long. what is the length of a chord 2 cm away from the centre ?​

Answer 1

Answer:

QUESTION:-

In a circle, a chord 1cm away from the centre is 6 cm long. what is the length of a chord 2 cm away from the centre ?

ANSWER:-

$\sqrt[2]{6}$

step by step explanation:-

$r {}^{2} = {3}^{2} + {1}^{2} \\ = 9 + 1 \\ = 10 \\ r = \sqrt{10} \\ d(diameter) = 2$

Length of chord =

$\sqrt[2]{ {r {}^{2} - {d}^{2} }^{} } \\ = \sqrt[2]{10 - {2}^{2} } \\ = \sqrt[2]{10 {}^{2 - 4} } \\ = \sqrt[2]{6}$