Question

The area enclosed between the circumference of two concentric circle is 16πcm square and their radii are in the ratio 5 : 3. what is the area of the outer circle. (use π = 3.14)​​

Answer 1

Answer:

24-3

3

3y-s 5

4 Y+

olt

x

2​

Step-by-step explanation:

Answer 2

The radii of two concentric circles are in the ratio 5 : 3.

If the radius of the outer circle is 5x

Then, the radius of the inner circle is 3x

According to the problem:

π(5x)^2(5x)

2

- π(3x)^2(3x)

2

= 16π

= > (5x)^2 - (3x)^2 = 16=>(5x)

2

−(3x)

2

=16

= > 25x^2 - 9x^2 = 16=>25x

2

−9x

2

=16

= > 16x^2 = 16=>16x

2

=16

= > x^2 = 1=>x

2

=1

∴ x = 1x=1

∴ The radius of the outer circle is 5 cm

And the radius of the inner circle is 3 cm.

∴ Area of the outer circle = π5^25

2

= 25x3.14 cm^2cm

2

= 78.5 cm^2cm

2