Question

The length of a chord of a circle of 16.8 cm, radius is 9.1 cm. Find its distance from the centre.

Answer 1

your question answer is in the photo

Answer 2

Answer:

Distance from the centre is 3.5 cm.

Step-by-step explanation:

Given the length of a chord of a circle of 16.8 cm, radius is 9.1 cm.

we have to find the distance of chord from the centre.

By theorem

Radius from the centre perpendicularly bisect the chord of the circle.

⇒ $AC=\frac{1}{2}AB=\frac{1}{2}\times 16.8=8.4 cm$

In ΔOCA,

By Pythagoras theorem

$OA^2=AC^2+OC^2$

$(9.1)^2=(8.4)^2+d^2$

$82.81-70.56=d^2$

⇒ $d^2=12.25$

⇒ d=3.5 cm

Hence, distance from the centre. is 3.5 cm.