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: