Question

Distance of chord AB from the centre of a circle is 8 cm. Length of the chord AB is 12 cm. Find the diameter of the circle.

Answer 1

diameter should be of 12 cm only

Answer 2

Answer:

Diameter of circle = 20 cm

Step-by-step explanation:

Given,

Distance of the chord from center of circle = 8 cm

length of chord AB = 12 cm

length of semi-chord = $\dfrac{12}{2}\ cm$

                                    = 6 cm

radius of circle can be given by,

$r\ =\ \sqrt{(semi\ chord)^2\ +\ (distance\ of\ chord\ from\ center)^2}$

   $=\ \sqrt{6^2\ +\ 8^2}$

  $=\ \sqrt{100}$

   = 10 cm

and diameter = 2 x radius

                        = 2 x 10 cm

                        = 20 cm

So, the diameter of given circle will be 20 cm.