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VIVEKANANDA RESIDENTIAL SCHOOL, ( Affiliated to C.B.S.E., Delhi – School Code No. 130052 ), Vivekanandapuri, Karimnagar – 505001 (T.S) 0878 – 2222768 / 2222769, e-mail : [email protected] URL : www.vrschool.com, , Case study (Circles), CASE STUDY-1, Read the Source/Text given below and answer the questions:, Four students of class IX B with names Ajay, Babloo, Charan and Deepak are, playing a game in a circular playground. All four students are holding radios, with speaker and mic. These radios are connected by a wire of equal length that, is 11 m (for each radio). Ajay Asks a question to Babloo. If Babloo gives the, correct answer he gets 10 points and asks a new question to Charan, If he, cannot answer then he passes the same question to Charan and gets no points., These conditions apply to all four players. After 10 rounds who gets maximum, points, he becomes the winner., 1. What is the radius of the field?, a. 7 m, b.14 m, c. 11 m, d. 22 m, 2. What is the area of the field?, a. 154 m² b. 54 m² c. 110 m² d. 220 m², 3. What is the area of the part marked with 1 on the field?, a. 38.5 m² b. 154 m², c. 76 m² d. 8.5 m², 4. What is the circumference of the field?, a. 44 m, b.14 m c. 22 m d. 28 m, 5. What is the direct distance from Ajay to Charan?, a. 14 m, b. 28 m, c. 15 m, d. 7 m, CASE STUDY-2, Read the Source/Text given below and answer the questions:, A farmer has a circular garden as shown in the picture above. He has a, different type of tree, plants and flower plants in his garden. In the garden,, there are two mango trees A and B at a distance of AB=10m.Similarly has two, Ashok trees at the same distance of 10m as shown at C and D. AB subtends, ∠AOB=1200 at the center O, The perpendicular distance of AC from center is, 5m the radius of the circle is 13m., 1. What is the value of ∠COD ?, a. 600, b.1200, c. 800, d. 1000, 2. What is the distance between mango tree A and, Ashok tree C ?, a. 12m, b. 24m, c. 13m, d. 15m, 3. What is the value of angle ∠AOB?, a. 600, b. 1200, c. 300 d. 900, 4. What is the value of angle ∠OCD ?, a. 300, b. 1200, c. 600, d. 900, 5. What is the value of ∠ODC?, a. 900, b. 1200, c. 600, d. 300, , 1