Question

The distance between the two parallel chords of length 8 cm and 6 cm in a circle of diameter 10 cm if the chords lic on the same side of the centre is

• A. 1 cm
• B. 2 cm
• C. 3 cm
• D. 4 cm

Answer 1

The correct option is A 1 cm

Given two parallel cords of length 8 cm and 6 cm lie one side of center and diameter of circle is 10 cm

Then radius of circle =$\frac{10}{2}=5cm$

Let distances of cord from center is x cm and y cm

And half of cord is 4 cm and 3 cm

Then $x=\sqrt{(5{)}^2-(4{)}^2}=\sqrt{25-16}=\sqrt{9}=3cm$

And $y=\sqrt{(5{)}^2-(9{)}^2}=\sqrt{25-9}=\sqrt{16}=4cm$

Then distances between cord =y-x=4-3=1 cm