# NCERT Exemplar Solution for Class 10 Maths: Areas Related to Circles (Part-IA)

NCERT Exemplar Problems and Solutions for Class 10 Mathematics chapter 11- Areas Related to Circles (Part-I) is available here. This part comprises of solutions to multiple choice questions (1-5) form exercise 11.1 of NCERT Exemplar for Mathematics chapter 11. Every solution has been designed to give students an easy and apt explanation.

Here you get the CBSE Class 10 Mathematics chapter 11, Areas Related to Circles: NCERT Exemplar Problems and Solutions (Part-IA). This part of the chapter includes solutions to Question Number 1 to 5 from Exercise 11.1 of NCERT Exemplar Problems for Class 10 Mathematics Chapter: Areas Related to Circles. This exercise comprises only the Multiple Choice Questions (MCQs) framed from various important topics in the chapter. Each question is provided with a detailed solution.

**CBSE Class 10 Mathematics Syllabus 2017-2018**

NCERT exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. All these questions are very important to prepare for CBSE Class 10 Mathematics Board Examination 2017-2018 as well as other competitive exams.

**Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Areas Related to Circles:**

**Exercise 11.1**

**Multiple Choice Questions (Q. No. 1-5)**

**Question. 1 **If the sum of the areas of two circles with radii *R*_{1} and *R*_{2}* *is equal to the area of a circle of radius *R, *then

**Question. 2 **If the sum of the circumferences of two circles with radii *R*_{1}* *and *R*_{2}* *is equal to the circumference of a circle of radius *R, *then

(a) *R*_{1}* + R*_{2} = *R*

(b) *R*_{1} + *R*_{2} > *R*

(c) *R*_{1} + *R*_{2} < *R*

(d) Nothing definite can be said about the relation among *R*_{1}, *R _{2} *and

*R.*

**Solution. (a)**

**Explanation: **

According to the question,

Circumference of circle with radius *R*= Circumference of circle with radius *R*_{1} + Circumference of circle with radius *R*_{2}

**Question. 3** If the circumference of a circle and the perimeter of a square are equal, then

(a) Area of the circle = Area of the square

(b) Area of the circle > Area of the square

(c) Area of the circle < Area of the square

(d) Nothing definite can be said about the relation between the areas of the circle and square

**Solution. (b)**

**Explanation: **

According to the question,

Circumference of a circle = Perimeter of a square

**Question. 4 **Area of the largest triangle that can be inscribed in a semi-circle of radius *r *units is

**Solution. (a)**

**Explanation: **

The largest triangle that can be inscribed in a semi-circle is the one formed by joining two end points of diameter *AB *to a point *C* on the circumference of that semi-circle.

**Question. 5 **If the perimeter of a circle is equal to that of a square, then the ratio of their areas is

(a) 22:7

(b) 14:11

(c) 7:22

(d) 11:14

**Solution. (b)**

**Explanation: **

According to the question,

Perimeter of a circle = Perimeter of a square

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