**Case study Questions in the Class 10 Mathematics Chapter 12 **are very important to solve for your exam. Class 10 Maths Chapter 12 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based** **questions for Class 10 Maths Chapter 12 **Areas Related to Circles**

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

# Areas Related to Circles Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 10 Maths **Chapter 12 Areas Related to Circles**

**Case Study/Passage-Based Questions**

**Question 1:**

Mr Ramanand purchased a plot QRUT to build his house. He leave space of two congruent semicircles for gardening and a rectangular area of breadth 3 em for car parking.

Based on the above information, answer the following questions.**(i) Area of square PQRS is**

(a) 700 cm^{2} | (b) 729 cm^{2} | (c) 732 cm^{2} | (d) 735 cm^{2} |

Answer: (b) 729 cm2

**(ii) Area of rectangle left for car parking is**

(a) 64 cm^{2} | (b) 76 cm^{2} | (c) 81 cm^{2} | (d) 100 cm^{2} |

Answer: (c) 81 cm2

**(iii) Radius of semi-circle is**

(a) 6.75 cm | (b) 7 cm | (c) 7.75 cm | (d) 8.75 cm |

Answer: (a) 6.75 cm

**(iv) Area of a semi-circle is**

(a) 61.59 cm^{2} | (b) 66.29 cm^{2} | (c) 70.36 cm^{2} | (d) 71.59 cm^{2} |

Answer: (d) 71.59 cm2

**(v) Find the area of the shaded region**

(a) 660.82 cm^{2} | (b) 666.82 cm^{2} | (c) 669.89 cm^{2} | (d) 700 cm^{2} |

Answer: (b) 666.82 cm2

**Question 2:**

A brooch is a small piece of jewellery which has a pin at the back so it can be fastened on a dress, blouse or coat. Designs of some brooch are shown below. Observe them carefully.

**Design A:** Brooch A is made with silver wire in the form of a circle with a diameter of 28mm. The wire is used for making 4 diameters which divides the circle into 8 equal parts.

**Design B:** Brooch b is made of two colors – Gold and silver. The outer part is made of Gold. The circumference of the silver part is 44mm and the gold part is 3mm wide everywhere.

**Refer to Design A**

**1. The total length of silver wire required is**

a) 180 mm

b) 200 mm

c) 250 mm

d) 280 mm

Answer: b) 200 mm

**2. The area of each sector of the brooch is**

a) 44 mm^{2}

b) 52 mm^{2}

c) 77 mm^{2}

d) 68 mm^{2}

Answer: c) 77 mm2

**Refer to Design B**

**3. The circumference of outer part (golden) is**

a) 48.49 mm

b) 82.2 mm

c) 72.50 mm

d) 62.86 mm

Answer: d) 62.86 mm

**4. The difference of areas of golden and silver parts is**

a) 18 **π**

b) 44 **π**

c) 51 **π**

d) 64 **π**

Answer: c) 51 π

**5. A boy is playing with brooch B. He makes revolution with it along its edge. How many complete revolutions must it take to cover 80 mm?**

a) 2

b) 3

c) 4

d) 5

Answer: c) 4

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