The area of the ring between two concentric circles is 3168 cm². Find the radii of the two circles if (1) their sum is 42 cm and (2) their difference is 28 cm.
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Step-by-step explanation:
Let two radius are 'x' and 'y', so,
x+y=42 (1)
and
x−y=28 (2)
Now adding (1) and (2), we get
2x=70
x=35
Putting in (1)
35+y=42
y=7
Therefore, radius of two concentric circles are 35 cm and 7 cm.
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