In: Advanced Math
Two concentric circles are of radii 5 cm and 3 cm. Determine the length of the chord of the larger circle which touches the smaller circle.
Two concentric circles are of radii 5 cm and 3 cm and the length of the chord of the larger circle which touches the smaller circle.
In triangle OCB,
we have
OB² = OC² + BC²
52 = 32 + BC²
BC2 = 25 - 9
BC2 = 16
BC = 4
Hence the length of cord is 4 cm