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  1. The area of a circle is increased by 22 cm² when its radius is increased by 1 cm. The original radius of the circle is
    1. 3 cm
    2. 5 cm
    3. 7 cm
    4. 9 cm
Correct Option: A

Using Rule 14,
π(r + 1)² – πr² = 22
⇒ π(r² + 2r + l - r²) = 22
⇒ 2πr + π = 22

22
(2r + 1) = 22
7

⇒ 2r + 1 = 7
⇒ 2r = 6
⇒ r = 3 cm.



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