Case Study Questions for Class 9 Maths Chapter 10 Circles
Case Study Questions
Question 1:
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
Answer
Answer:
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