Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.
-
A.
(8sqrt{3}) cm -
B.
4 cm -
C.
8 cm -
D.
(8sqrt{2}) cm
Correct Answer: Option D
Explanation
Length of chord = (2r sin (frac{theta}{2}))
= (2 times 8 times sin (frac{90}{2}))
= (16 times frac{sqrt{2}}{2})
= (8sqrt{2} cm)
There is an explanation video available below.