Question

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?​

Answer 1

Length of AB = 16 cm

h² = p² + b²

10² = 6² + b²

100 = 36 + b²

$b = \sqrt{64}$

$= 8 cm$

$AB = 8 + 8$

$= 16 cm$

Answer 2

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:

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

Similarly, find the length of CD:

• $CD/2=\sqrt{10^2-8^2} =\sqrt{36} =6$
• $CD=12$