Question
If diameter of a circle is increased by 25%, what will
be the area of the circle? I. Circumference of the circle is 88 m. II. Area of the circle is 616 sq.m. Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer –Solution
From I, 2Pi r = 88m ⟹ r = (88 x 7)/(22 x 2) = 14 m. d = 28 m. increased d = 125% of 28 = 35 m increased r = 17.5 m increased area = Pir² = (22 × 17.5 × 17.5)/(7) = 962.5m² From II, Pi r² = 616 m² ⟹ r²= = 196 r = 14 m. d = 28 m. increased d = 125% of 28 = 35 m increased r = 17.5 m increased area = Pi r²= (22 × 17.5 × 17.5)/(7) = 962.5m²
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