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)
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0
Answer:
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Step-by-step explanation:
Answered by
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
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