Question

Draw a concentric circle for the radii measuring 5.3 centimeter and 7 centimeter. Find out the width of the circular ring.

Answer 1

Hint : two circles with different radii and same centre and the distance between their radii. we wil;l draw the two circles with the same centres and given different radii with the help of compass. the width of the circular ring is the difference in length between the two different radii.

Complete step by step solution:
Mark a point as centre O.
Then we will draw a circle with a radius of 5.3 centimeter .
Draw a straight line from point O till the boundary of the circle with radius 5.3 centimeter . The point at which this line touches the circle circumference is point A.
Then we will draw a new circle again with point O as the centre but with radius 7 centimeter this time.
Draw a straight line from point O till the boundary of the circle with radius 7 centimeter this time . The point at which this line touches the circle circumference is point B this time.
Now we have two lines . line OA and Line OB.
Now, to find the width of the circular ring we will need to subtract length OA and OB.
\[\therefore \,OB-OA=7-5.3=1.7\text{ centimeter}\]
The width of the circular ring is \[=1.7\]centimeter .


Additional information: Concentric circles are circles with a common center. The region between two concentric circles of different radii is called an annulus. An Annulus is much like the throw-ring. One way to think of it is a circular disk with a circular hole in it. Thus the annulus is also called the circular ring.

Note: Any two circles can be made concentric by inversion by picking the inversion center as one of the limiting points. Thus this width of circular ring can be found out by subtracting the radius of these two circles.