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The area of a circle is increased by 22 cm its radius is increased by 1 cm. The original radius of the circle is
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- 6 cm
- 3.2 cm
- 3 cm
- 3.5 cm
- 6 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 | |
7 |
⇒ 2r + l = | = 7 | |
22 |
⇒ 2r = 7 - 1 = 6 ⇒ r = | = 3 cm. | |
2 |