Question

Draw concentric circles having radii 3.5 cm and 5.5 cm. Find out the width of the circular ring.

Answer 1

Hint:To solve this first we have to write the steps of construction and then draw the figures with respective dimensions. To find the width of circular radii we have to subtract from radius of bigger circle to radius of smaller circle.

Complete step-by-step answer:
Concentric circles are circles with a common center. The region between two concentric circles of different radii is called an annulus. Any two circles can be made concentric by inversion by picking the inversion center as one of the limiting points.
Step 1: draw a circle of radius 3.5 cm
Step 2: Draw another circle with the same center of radius 5.5 cm.
Step 3: Now the figure appears as a ring. Now draw the line from the outer circle to the inner circle the length of the line is the width of the circular ring.

Width of circular ring = \[{{R}_{2}}-{{R}_{1}}\]
\[{{R}_{2}}=5.5cm\], \[{{R}_{1}}=3.5cm\].
\[{{R}_{2}}-{{R}_{1}}=5.5-3.5\]
\[{{R}_{2}}-{{R}_{1}}=2.0cm\]
The width of the circular ring is \[2.0cm\].
Note: The circles formed here are both concentric. We can also find the area of the ring by Subtracting the area of outer ring to the inner ring. All the dimensions are in cm. Take care while writing the dimensions.