Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th

# In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords? - Mathematics

Sum

In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?

#### Solution

Length of the chord (AB) = 16 cm

∴ AF = 1/2 xx 16

= 8 cm

Length of the chord (CD) = 12 cm

∴ CE = 1/2 xx 12

= 6 cm

In the right ΔOCE,

OE2 = OC2 – CE2

= 102 – 62

= 100 – 36

= 64

OE = sqrt(64)

= 8 cm

In the right ΔOAF,

OF2 = OA2 – AF2

= 102 – 82

= 100 – 64

= 36

OE = sqrt(36)

= 6 cm

Distance between the two chords

= OE + OF

= 8 + 6

= 14 cm

Is there an error in this question or solution?

#### APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 4 Geometry
Exercise 4.3 | Q 5 | Page 170