contestada

Rohan draws a circle of radius 10 cm with the help of compass and scale. He also draws two chords, AB and CD in such a way that AB and CD are 6 cm and 8 cm from the centre O. Now, he has some doubts that are given below. Help him out by answering these questions:

a)what will be the chord of ab?
b)what wil be the chord of cd?​

Rohan draws a circle of radius 10 cm with the help of compass and scale He also draws two chords AB and CD in such a way that AB and CD are 6 cm and 8 cm from t class=

Respuesta :

mhanifa

Answer:

  • a) 16 cm
  • b) 12 cm

Step-by-step explanation:

Connect the center with A and C:

  • OA = 10 cm or OC = 10 cm

Use Pythagorean to find half of AB:

  • [tex]AB/2=\sqrt{10^2-6^2} =\sqrt{64} =8[/tex]
  • [tex]AB = 16[/tex]

Similarly, find the length of CD:

  • [tex]CD/2=\sqrt{10^2-8^2} =\sqrt{36} =6[/tex]
  • [tex]CD=12[/tex]
Xignerso

Length of AB = 16 cm

h² = p² + b²

10² = 6² + b²

100 = 36 + b²

[tex]b = \sqrt{64} [/tex]

[tex]= 8 cm[/tex]

[tex]AB = 8 + 8[/tex]

[tex]= 16 cm[/tex]

Otras preguntas