Question

the radius of circle is 13 centimetre and the length of 1 its cold is 24 centimetre find distance of chord
from the center​

Answer 1

Answer:

The distance of chord from the center is 5 cm.

Step-by-step explanation:

First join radius and chord at the end of the chord.

draw a line perpendicular to chord from the center of the circle.

then find the value of the distance of the center to the chord by pythagoras therom .

As you see the triangle formation.

Answer 2

Here,

Radius of circle (r) = 13 cm

Length of one of the chord of circle (c) = 24 cm

We know,

• Perpendicular (p) drawn onto the chord of a circle, bisects the chord.

So,

Applying Pythagoras theorem,

p² = r² - c²

$\tt p = \sqrt{ {r}^{2} - { \bigg( \frac{c}{2} \bigg)}^{2} } \\ \\ \tt p = \sqrt{ {(13)}^{2} - {(12)}^{2} } \\ \tt p = \sqrt{(13 + 12)(13 - 12)} \\ \tt p = \sqrt{25 \times 1} = \sqrt{25} \\ \tt p = \green5$

Thus,

• Distance of the Perpendicular height is 5 cm

Hence,

• Distance of chord from the center is 5 cm