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Find the Area of a Ring Whose Outer and Inner Radii Are Respectively 23 Cm and 12 Cm. - Mathematics

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Question

Find the area of a ring whose outer and inner radii are respectively 23 cm and 12 cm.

Sum

Solution

Let r1 cm and r2 cm be the radii of the outer and inner boundaries of the ring, respectively.
We have:

r1 = 23 cm 

r2 = 12 cm

Now,

Area of the outer ring `= π"r"_1^2`

`=22/7xx23xx23`

=  1662.57 cm

Area of the inner ring `= π"r"_2^2`

`= 22/7xx12xx122`

= 452.57 cm

Area of the ring = Area of the outer ring - Area of the inner ring

= 1662.57 - 452.57

= 1210 cm2 

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Chapter 18: Area of Circle, Sector and Segment - Exercise 18A [Page 831]

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RS Aggarwal Mathematics [English] Class 10
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 8 | Page 831

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