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  1. The area of a circle is increased by 22 cm its radius is increased by 1 cm. The original radius of the circle is
    1. 6 cm
    2. 3.2 cm
    3. 3 cm
    4. 3.5 cm
Correct Option: C

Using Rule 14,
Let the original radius be r cm.
According to the question,
π(r + 1)² – πr² = 22
⇒ π(r² + 2r + 1–r²) = 22

⇒ (2r + l) ×
22
= 22
7

⇒ 2r + l =
22 × 7
= 7
22

⇒ 2r = 7 - 1 = 6 ⇒ r =
6
= 3 cm.
2



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