## 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