the area of a circular ring is 942.6 cm square and the radius of larger circle is 20 cm.calculate the area of the smaller circle
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Area of smaller circle = Area of larger circle - Area of ring
942.6 cm² = πR² - πr²
πr² = (3.14 × 20 × 20) - 942.6 cm²
πr² = (3.14 × 400) - 942.6 cm²
πr² = 1256.8 cm² - 942.6 cm²
πr² = 314.2 cm²
Now,
Thickness of ring = Radius of Bigger circle - Radius of smaller circle
πr² = 314.2 cm²
r² = (314.2 / π) = (314.2/3.142)
r² = 100
r = √100 = 10 cm
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