Question

If the diameters of two concentric circles are 20 cm and 16 cm , then the area of the circular ring included between the two circles is ​

Answer 1

Answer:

Let radius of outer ring, x = 10 cm

and radius of inner ring , y = 8 cm

area of ring is given by

$\pi \: ( {x}^{2} - {y}^{2} ) \\ = \frac{22}{7} ( {10}^{2} - {8}^{2} ) \\ = \frac{22}{7} \times 36 \\ = \frac{792}{7} {cm}^{2}$

Answer 2

Given :  Diameters of two concentric circles are 20 cm and 16 cm

To Find : Area of the circular ring included between the two circles

Solution:

Radius = Diameter/2

Area of a circle = π (Radius)²

Outer radius = 20/2 = 10 cm

Inner  Radius = 16/2 = 8 cm

Area of the circular ring included between the two circles

= Area of outer circle - Area of inner  circles

= π (10)² - π (8)²

= π (100 - 64)

= 36π

Use π = 3.14

= 36 (3.14)

= 113.04 cm²

the area of the circular ring included between the two circles is ​

113.04 cm²

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