Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.

Answer Details

Length of chord = 2rsin(θ2) $2r\sin (\frac{\theta }{2})$

= 2×8×sin(902) $2\times 8\times \sin (\frac{90}{2})$

= 16×2√2 $16\times \frac{\sqrt{2}}{2}$

= 82–√cm