PQ and RS are two chords of a circle. PQ = 20 cm, RS = 48 cm and PQ is parallel to RS. If the distance between PQ and RS is 34 cm, then what is the area (in cm) of the circle?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 676π
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Application |
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In the figure: RO = PO (Radius of circle) √(242 + a2) = √[102 + (34 – a)2] ⇒ 576 + a2 = 100 + (34 – a)2 ⇒ 576 + a2 = 100 + 1156 + a2 – 68a ⇒ 68a = 680 ⇒ a = 10 Hence, Radius = √(242 + 102) = 26 cm And Area of the circle = π × (26)2 = 676π |
