Question : Two parallel lines touch the circles at P and Q. The area of the circle is 154 cm2. Find the length of PQ (Take $\pi=\frac{22}{7}$)
Option 1: 85.2 cm
Option 2: 14 cm
Option 3: 7 cm
Option 4: 77 cm
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Correct Answer: 14 cm
Solution :
Given: Area of the circle = 154 $cm^2$
We know that,
Area of the circle = $\pi r^2$
According to the question,
154 = $\pi r^2$
⇒ 154 = $\frac{22}{7}×r^2$
⇒ $\frac{154×7}{22}$ = $r^2$
⇒ $r$ = 7
Thus, length of PQ = 7 × 2 = 14
Hence, the correct answer is 14 cm.
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