Question

a circle of 30 cm diameter has a 24 cm chord what is the distance of the chord from the centre

Answer 1

radius of a circle is equal to half of diameter ;
so centre point is radius

now radius is equal to 15

24-15=9

Answer 2

The distance of the chord from the center is 9 cm.

Step-by-step explanation:

Given : A circle of 30 cm diameter has a 24 cm chord.

To find : What is the distance of the chord from the center ?

Solution :

Diameter of circle = 30 cm

Radius of circle = 15 cm

Chord length = 24 cm

Using theorem perpendicular from the center bisect the chord the chord is bisected at 90 degree.

So the two parts of line is 12 cm each.

Applying Pythagoras theorem,

$\text{Radius}^2=\text{One side of chord}^2+\text{Distance}^2$

$15^2 = 12^2 + \text{Distance}^2$

$225 = 144 + \text{Distance}^2$

$\text{Distance}^2=225-144$

$\text{Distance}^2=81$

$\text{Distance}=\sqrt{81}$

$\text{Distance}=9$

Therefore, the distance of the chord from the center is 9 cm.

#Learn more

Diameter of a circle is 26 CM. and length of a chord of the circle is 24 CM. Find the distance of the chord from the center.

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