If in the following figure (not to the scale), ∠ACB = 135° and the radius of the circle is 2√2 cm, then the length of the chord AB is

If in the following figure (not to the scale), ∠ACB = 135° and the radius of the circle is 2√2 cm, then the length of the chord AB is

Answer: Option C

Solution

Answer: Option C

Solution:

$$\begin{array}{rl}& \text{Hence }A{B}^2={\left(2\sqrt{2}\right)}^2+{\left(2\sqrt{2}\right)}^2\\ & A{B}^2=8+8\\ & A{B}^2=16\\ & AB=\sqrt{16}\\ & AB=4\end{array}$$