Class 10 - Mathematics

Chapter 11. Area Related To Circle

Olympiad Level MCQs Also Included

Set-1

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

(A) `R_1 + R_2 = R`
(B) `R^2_1+R^2_2=R^2`
(C) `R_1 + R_2 < R`
(D) `R^2_1+R^2_2 < R^2`

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.`

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.

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

(A) `r^2` sq. units
(B) `\frac{1}{2} r^2` sq. units
(C) `2 r^2` sq. units
(D) `\sqrt{2} r^2` sq. units

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

6. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be

(A) 10 m
(B) 15 m
(C) 20 m
(D) 24 m

7. The area of the circle that can be inscribed in a square of side 6 cm is

(A) `36π` `cm^2`
(B) `18π` `cm^2`
(C) `12π` `cm^2`
(D) `9π` `cm^2`

8. The area of the square that can be inscribed in a circle of radius 8 cm is

(A) 256 `cm^2`
(B) 128 `cm^2`
(C) 64`\sqrt{2}` `cm^2`
(D) 64 `cm^2`

9. The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36cm and 20 cm is

(A) 56 cm
(B) 42 cm
(C) 28 cm
(D) 16 cm

10. The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is

(A) 31 cm
(B) 25 cm
(C) 62 cm
(D) 50 cm

Class 10, Chapter 11: Area Related to Circle - MCQs & Online Tests

Class 10, Chapter 11, focusing on the Area Related to Circle, holds significant importance in the fieldof geometric studies. This chapter encompasses the calculation of areas related to circles, including sectors, segments, and their various properties.

Importance of Understanding: A thorough comprehension of these circle-related concepts lays a robust foundation for advanced mathematical principles. Understanding the area-related formulas and their application in real-world scenarios is crucial for academic success and practical problem-solving skills.

MCQs for Enhanced Learning: Multiple-choice questions (MCQs) serve as valuable self-assessment tools. They aid in assessing comprehension and retention of crucial concepts. We've meticulously curated a comprehensive set of MCQs tailored to Chapter 11. These questions cover various aspects, enabling students to self-evaluate and fortify their understanding.

MCQs are not only for test knowledge but also aid in identifying areas that require further attention. Practicing MCQs can significantly improve exam preparation and overall performance.

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Engaging with online tests not only evaluates one's knowledge but also enhances time management and exam-taking strategies, fostering a more confident approach to assessments.

Understanding Class 10, Chapter 11: Area Related to Circle, and actively participating in MCQs and online tests plays a pivotal role in achieving academic excellence. These resources are not just educational tools but stepping stones towards a deeper understanding of mathematical concepts.

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