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Mathematics

Find the area of a ring whose outer and inner radii are 19 cm and 16 cm respectively.

Mensuration

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Answer

Given,

Outer radius (R) = 19 cm

Inner radius (r) = 16 cm

Area of ring = Area of big circle − Area of small circle

Area of ring = πR2 - πr2

= π(R2 - r2)

= π(192 - 162)

= π(361 - 256)

= π(105)

= 227×105\dfrac{22}{7} \times 105

= 22 × 15

= 330 cm2.

Hence, area of the ring = 330 cm2.

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