Please refer to **Case Study Chapter 9 Circles Mathematics Mathematics** with answers provided below. These case study based questions are expected to come in the upcoming Class 10 Mathematics examinations. We have provided case study questions class 10 maths for all chapters on our website as per the latest examination pattern issued by CBSE, NCERT, and KVS.

**Chapter 9 Circles Mathematics Case study Questions Class 10 Maths**

**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.**

**Question. Find ∠RSQ **

(a) 60

(b) 75

(c) 100

(d) 30

**Answer**

B

**Question. In the given figure find ∠ROQ **

(a) 60

(b) 100

(c) 150

(d) 90

**Answer**

C

**Question. Find ∠RQP **

(a) 75

(b) 60

(c) 30

(d) 90

**Answer**

A

**Question. Find ∠ORP **

(a) 90

(b) 70

(c) 100

(d) 60

**Answer**

A

**Varun has been selected by his School to design logo for Sports Day T-shirts for students and staff . The logo design is as given in the figure and he is working on the fonts and different colours according to the theme. In given figure, a circle with centre O is inscribed in a ΔABC, such that it touches the sides AB, BC and CA at points D, E and F respectively. The lengths of sides AB, BC and CA are 12 cm, 8 cm and 10 cm respectively. **

**Question. Find the length of CF **

(a) 9

(b) 5

(c) 2

(d) 3

**Answer**

D

**Question. Find area of ΔABC **

(a) 50

(b) 60

(c) 100

(d) 90

**Answer**

B

**Question. Find the length of AD **

(a) 7

(b) 8

(c) 5

(d) 9

**Answer**

A

**Question. If radius of the circle is 4cm, Find the area of ΔOAB **

(a) 20

(b) 36

(c) 24

(d) 48

**Answer**

C

**Question. Find the Length of BE **

(a) 8

(b) 5

(c) 2

(d) 9

**Answer**

B

We hope you liked the above provided **Case Study Chapter 9 Circles Mathematics Mathematics case study questions class 10 maths** provided above. Please let us know in the comments box below if you have any questions.