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Circle class IX Case Study Question circleclass9
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Case Study Question • #circleclass9 • Ankit visited in a mall with his father. He sees that three shops are situated at P, Q, R as shown in the figure from where they have to purchase things according to their need. Distance between shop P and Q is 8 m, that of between shop Q and R is 10 m and between shop P and R is 6 m. Considering O as the centre of the circle, answer the following questions. • (i) Find the radius of the circle. (a) 5 m (b) 7 m (c) 14 m (d) 8 m • (ii) Measure of ∠QPR is (a) 60° (b) 90° (c) 120° (d) 180° • (iii) Area of ∆PQR is (a) 18 m2 (b) 20 m2 (c) 22 m2 (d) 24 m2 • (iv) Length of the longest chord of the circle is (a) 6 m (b) 8 m (c) 10 m (d) 24 m • (v) In figure, PSQP is known as (a) Major segment (b) Minor segment (c) Major sector (d) Minor sector
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