Question

draw a circle of radius 3.5 cm and construct a chord of length 6 cm in it. measure the distance between the centre and the chord

Answer 1

First you may throw the circle with the help of the compass and then you can form a right angle triangle which is formed by the radius chords and then by using Pythagoras Theorem you can find the length of the chord

Answer 2

Answer:

The distance between the center and the chord is 1.87 m.

Step-by-step explanation:

Given : A circle of radius 3.5 cm and construct a chord of length 6 cm in it.

To find : Measure the distance between the center and the chord and also draw the circle?

Solution :  

First we draw a circle of radius 3.5 cm marked as OA

Then we draw a chord on the circle with length 6 cm as AB.

Now, We draw a perpendicular bisector from the center of the circle to the chord which bisect the chord into equal parts by bisector theorem.

Marked the length as OC..

Now, take triangle OAC,

Apply Pythagoras theorem,

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

$3.5^2=OC^2+3^2$

$12.25=OC^2+9$

$OC^2=3.25$

$OC=\sqrt{3.25}$

$OC=1.87$

The distance between the center and the chord is 1.87 m.

Refer the attached figure below.