What is the area of the region between two concentric circles, if the length of a chord of the outer circle touching the inner circle at a particular point of its circumference is 14 cm? (Take \pi=\frac{22}{7})
- A. 154 square cm ✓
- B. 144 square cm
- C. 132 square cm
- D. Cannot be determined due to insufficient data
Correct Answer: A. 154 square cm
Explanation
The radius of the outer circle R and the inner circle r relate to the half-chord length by R^2 - r^2 = (14/2)^2 = 49. The area between the circles is \pi(R^2 - r^2) = \frac{22}{7} \times 49 = 154 sq cm.
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