CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The radius of a circle is 17.0 cm and the length of perpendicular drawn from its centre to a chord is 8.0 cm. Calculate the length of the chord.


  1. 20 cm

  2. 5 cm

  3. 10 cm

  4. 30 cm


Solution

The correct option is D

30 cm


A circle with centre O.

Radius of the circle = 17 cm

AB is chord and OM AB which bisects it at M

In right Δ OAM,

      OA2=AM2+OM2

      (17)2=AM2+(8)2

      289=AM2+64

      AM2=28964=225=(15)2

AM = 15 cm

Hence AB = 2AM = 2 × 15 = 30 cm

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image