Students of class 10 Mathematics should refer to MCQ Questions Class 10 Mathematics Areas related to Circles with answers provided here which is an important chapter in Class 10 Mathematics NCERT textbook. These MCQ for Class 10 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 10 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming class 10 Mathematics examination

Chapter 12 Areas related to Circles MCQ with Answers Class 10 Mathematics

MCQ Questions Class 10 Mathematics Areas related to Circles provided below have been prepared by expert teachers of grade 10. These objective questions with solutions are expected to come in the upcoming Standard 10 examinations. Learn the below provided MCQ questions to get better marks in examinations.

Question. The area of a sector of a circle bounded by an arc of length 5π cm is equal to 20π cm 2 , then itsradius is
(a) 12 cm
(b) 16 cm
(c) 8 cm
(d) 10 cm

Question. The diameter of a wheel is 1.26 m. The distance travelled in 500 revolutions is
(a) 2670 m
(b) 2880 m
(c) 1980 m
(d) 1596 m

Question. The perimeter (in cm) of a square circumscribing a circle of radius a cm, is
(a) 8 a
(b) 4 a
(c) 2 a
(d) 16

Question. The area of a sector of a circle with radius 21cm and sector angle 120° is
(a) 462 sq. cm
(b) 288 sq. cm
(c) 156 sq. cm
(d) 426 sq. cm

Question. The minute hand of a clock is 7 cm long. The area traced out by the minute hand of the clock between 5 : 15 pm to 5 : 35 pm on a day is :
(a) 50 1/3 cm²
(b) 511/3 cm²
(c) 52 1/3 cm²
(d) none of these

Question. In an equilateral triangle of side 24 cm, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is:
(a) 88.55 cm²
(b) 90.55 cm²
(c) 95.55 cm²
(d) 98.55 cm²

Question. If the area of a circle is numerically equal to twice its circumference, then the diameter of thecircle is:
(a) 4 units
(b) n units
(c) 8 units
(d) 2 units

Question. 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) 1 : 22
(d) 11 : 14

Question. The perimeter of a sector of a circle of radius 9 cm is 33 cm. The area of this sector is :
(a) 57.6 cm²
(b) 61.25 cm²
(c) 67.5 cm²
(d) none of these

Question. The ratio of the areas of the incircle and circumcircle of a square is
(a) 1 : 2
(b) 1 : 3
(c) 1 : 4
(d) 1 : √2

Question. The given figure consists of a rectangle and a semicircle. The area of the figure is :
(a) 432 cm²
(b) 450 cm²
(c) 532 cm²
(d) 550 cm²

Question. The area of a circle whose circumference is 22 cm, is
(a) π cm²
(b) 38.5 cm²
(c) 22 cm ²
(d) 77 cm ²

Question. If the radius of a circle is increased by 100%, then its area is increased by
(a) 100%
(b) 300%
(c) 200%
(d) 400%

Question. The perimeter of a semicircular protractor whose radius is 7cm is
(a) 18cm
(b) 27cm
(c) 36cm
(d) 72cm

Question. The ratio of area of two circles whose ratio of circumference is 3:1 will be
(a) 3 : 1
(b) 1 : 3
(c) 1 : 9
(d) 9 : 1

Question. The area of the circle that can be inscribed in a square of side 10cm is
(a) 25 sq.cm
(b) 10π sq.cm
(c) 125π sq.cm
(d) 20π sq.cm

Question. If the area of a circle is 154 cm 2 , then its perimeter is
(a) 11cm
(b) 22 cm
(c) 44 cm
(d) 55 cm

Question. If ‘r’ is the radius of a circle, then its perimeter is given by
(a) πr
(b) 2πr
(c) 2πd
(d) none of these

Question. It is proposed to build a single circular park equal in area to the sum of areas of two circular parksof 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

Question. A wire bent in the form of a circle of radius 42 cm is cut and again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square?   
(a) 11 : 12
(b) 21 : 33
(c) 22 : 33
(d) 14 : 11

Question. A circular grass lawn of 35 m radius, has a path 7 m wide running around it on the outside. Find the area of the path.       
(a) 1496 m²
(b) 1450 m²
(c) 1576 m²
(d) 1694 m²

Question. In the adjoining figure, ABC is an equilateral triangle of side 14 cm. M is the centre of the circumcircle. 

Find the area of the shaded region.
(a) 115.27 cm²
(b) 96.63 cm²
(c) 120.46 cm²
(d) 146.72 cm²

Question. If the area of a circle is A, radius is ‘r’ and circumference is C. which of the following relations is true?     
(a) rC = 2A
(b) C/A – r/2
(c) AC = r²/4
(d) A/r = C

Question. The figure given shows two identical semicircles cut out from a piece of coloured paper.   

Find the area of the remaining piece of paper. (Use π = 22/7) .
(a) 296.1 cm²
(b) 265.4 cm²
(c) 221.5 cm²
(d) 201.7 cm²

Question. The radius of a circle is 14 m. Find the circumference of the circle.   
(a) 616m
(b) 88m
(c) 154m
(d) 176m

Question. The given figure shows two identical circles and a rectangle. 

What is the unshaded area of the figure in cm² ? (Take π = 3.14 .)
(a) 40
(b) 43
(c) 25
(d) 33

Question. If the circumference of a circle is 44 m, what is the area of the circle?     
(a) 6084.5 m²
(b) 276.5 m²
(c) 154 m²
(d) 44 m²

Question. A bucket is pulled from a well by means of a rope which is wound round a wheel of diameter 77 cm. Given that the bucket ascends in 1 minute 28 seconds with a uniform speed of 1.1 m/s, find the number of complete revolutions that the wheel makes in raising the bucket. (Take π = 22/7).   
(a) 10
(b) 55
(c) 25
(d) 40

Question. The difference between circumference and radius of a circle is 37 m. Find the circumference of the circle. 
(a) 7 m
(b) 44 m
(c) 154 m
(d) 186 m

Question. The circumference of a circle exceeds its diameter by 120cm, then its radius is
(a) 56cm
(b) 14cm
(c) 42cm
(d) 28cm

Question. A student takes a rectangular piece of a paper 30 cm long and 21 cm wide. The area of the greatest circle he can cut from the paper is :
(a) 246.5 cm²
(b) 346.5 cm²
(c) 446.5 cm²
(d) none of these

Question. The distance covered by a circular wheel of diameter ‘d’ in 100 revolutions is
(a) 100π
(b) 100d
(c) πd
(d) 100πd

Question. OABC is a quadrant with radius 14 cm and a semi-circle with OA as diameter. The area of the shaded portion is :
(a) 55 cm²
(b) 66 cm²
(c) 77 cm²
(d) 88 cm²

Question. The area of the square that can be inscribed in a circle of radius 12 cm is
(a) 288 sq. cm
(b) 576 sq. cm
(c) 144 sq.cm
(d) 500 sq. cm

Question. The area of a circle is 2464 sq. cm, then its diameter is given by
(a) 7cm
(b) 14cm
(c) 28cm
(d) 56cm

Question. In the given figure, the larger circle has the radius 8 cm with O as its centre. The area of the shaded region is :
(a) 150.85 cm²
(b) 200.75 cm²
(c) 250.85 cm²
(d) none of these

Question. A circular track has an inside circumference of 440 m. If the width of the track is 7 m, the outside circumference is :
(a) 441 m
(b) 484 m
(c) 625 m
(d) none of these

Question. In the given figure, the area of the shaded segment of the circle with centre O is
(a) 1.45 cm²
(b) 2.15 cm²
(c) 3.25 cm²
(d) 4.75 cm²

Question. The radius of a car wheel is 49 cm. The number of times the wheel of a car rotate in a journey of 1925 m is:
(a) 525
(b) 600
(c) 625
(d) 725

We hope the above multiple choice questions for Class 10 Mathematics for Chapter 12 Areas related to Circles provided above with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Areas related to Circles is an important chapter in Class 10 as it provides very strong understanding about this topic. Students should go through the answers provided for the MCQs after they have themselves solved the questions. All MCQs have been provided with four options for the students to solve. These questions are really useful for benefit of class 10 students. Please go through these and let us know if you have any feedback in the comments section.