Calculate the area and perimeter of the following ring where a = 7cm, b = 14cm Area of Ring: (i) (ii) Perimeter of Ring:
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Given : a ring inner radius = 7 cm & outer radius = 14 cm
To find : Area of Ring and Perimeter of Ring: 132 cm
Solution:
Area of circle = π Radius²
Perimeter of circle = 2π Radius
Area of ring
= Area of bigger circle - area of smaller circle
= π (14)² - π (7)²
= π(14 + 7)(14 - 7)
= π(21)(7)
use π = 22/7
= (22/7)(21)(7)
= 462 cm²
Perimeter of ring
Area of bigger circle + area of smaller circle
= 2π(14) + 2π(7)
= 2π(21)
= 2(22/7)(21)
= 132 cm
Area of Ring: 462 cm²
Perimeter of Ring: 132 cm
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