The area of a triangular park, whose sides are 160 m, 300 m, and 340 m, is 4of the area of a circular park. What is the perimeter (in m) of the circular park (correct to one decimal place)? (Take π = )
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Correct answer: C
Explanation
The correct answer is option 3 i.e. 251.4.
1602 + 3002 = 3402 [Right-angled triangle]
Triangle area = (1/2) × 160 × 300 = 24000 m2
⇒ Circle Area = 24000 × (22/105) = 5028.57 m2
πr2 = 5028.57
⇒ (22/7)r2 = 5028.57
⇒ r2 = 5028.57 × (7/22) = 1600
⇒ r = 40 m
Perimeter = 2πr = 2 × (22/7) × 40 = 251.4 m