Mathematics TERM II
Circles
Class 10 Session 2021-2022
Case Study Questions 01
A Ferris Wheel (or a big wheel in the United Kingdom) is an amusement ride consisting of a rotating upright wheel with multiple passenger-carrying components (commonly referred to as passenger cars, cabins, tubs, capsules, gondolas, or pods) attached to the rim in such a way that as the wheel turns, they are kept upright, usually by gravity. After taking a ride in Ferris Wheel, Aarti came out from the crowd and was observing her friends who were enjoying the ride . She was curious about the different angles and measures that the wheel will form. She forms the figure as given below.
1. In the given figure, `\angle`ROQ is
(a) 60°
(b) 100°
(c) 150°
(d) 90°
(c) 150°
2. `\angle`RQP equals
(a) 75°
(b) 60°
(c) 30°
(d) 90°
(a) 75°
3. `\angle`RSQ equals
(a) 60°
(b) 75°
(c) 100°
(d) 30°
(b) 75°
4. `\angle`ORP equals
(a) 90°
(b) 75°
(c) 100°
(d) 60°
(a) 90°
5. If `\angle`P = 60° and OQ = OR = 5 m, then the length of PQ is
(a) 5 m
(b) 12 m
(c) `5\sqrt{3}` m
(d) None of these
(c) `5\sqrt{3}` m