CBSE Class 10 Mathematics Areas Related to Circles VBQs

CBSE Class 10 Mathematics Areas Related to Circles VBQs read and download in pdf. Value Based Questions come in exams for Mathematics in Class 10 and are easy to learn and helpful in scoring good marks. You can refer to more chapter wise VBQs for Class 10 Mathematics and also get latest topic wise very useful study material as per latest NCERT book for Class 10 Mathematics and all other subjects for free on Studiestoday designed as per latest Class 10 CBSE, NCERT and KVS syllabus and examination pattern

VBQ for Class 10 Mathematics Chapter 12 Areas Related to Circles

Class 10 Mathematics students should refer to the following value based questions with answers for Chapter 12 Areas Related to Circles in Class 10. These VBQ questions with answers for Class 10 Mathematics will come in exams and help you to score good marks

Chapter 12 Areas Related to Circles VBQ Questions Class 10 Mathematics with Answers

Question. A road which is 7 m wide surrounds a circular park whose circumference is 352 m.
Find the area of the roa(d)
(a) 2618 m2
(b) 2518 m2
(c) 1618 m2
(d) none of these
Answer : A

Question. In making 1000 revolutions, a wheel covers 88 Km. The diameter of the wheel is:-
(a) 14 m
(b) 24 m
(c) 28 m
(d) 40 m
Answer : C

Question. The area of the circle that can be inscribed in the square of side 6cm is
(a) 18πœ‹π‘π‘š
(b) 12πœ‹π‘π‘š
(c) 9πœ‹π‘π‘š
(d) 14πœ‹π‘π‘š
Answer : C

Question. A wire is looped in the form of a circle of radius 28 cm. It is re-bent into a square form.
Determine the length of the side of the square:-
(a) 42 cm
(b) 44 cm
(c) 46 cm
(d) 48 cm
Answer : B

Question. Find the area of a right angled triangle, if the radius of its circumscribed circle is 2.5 cm and the altitude drawn to the hypotenuse is 2 cm long.
(a) 5 cm2
(b) 6 cm2
(c) 7 cm2
(d) none of these
Answer : A

Question. Area of a sector of a circle of radius R, whose central angle is P (in degrees) is given by:
(a) 𝑃/180 x 2Ο€R
(b) 𝑃/180 x π𝑅2
(c) 𝑃/180 x 2π𝑅2
(d) 𝑃/360 x 2π𝑅
Answer : C

Question. A square is inscribed in a circle of radius r. Find the area of the square in sq.units
(a) 3r2
(b) 2r2
(c) 4r2
(d) none of these
Answer : B

Question. The area of the square is the same as the area of the circle. Their perimeter are in the ratio:-
(a) 1:1
(b) πœ‹:2
(c) 2:πœ‹
(d) none of these
Answer : D

Question. The perimeter of a sector of a circle of radius 5.6 cm is 27.2 cm. Find the area of the sector.
(a) 44 cm2
(b) 44.6 cm2
(c) 44.8 cm2
(d) none of these
Answer : C

 

Very Short Answer Type Questions

Question. The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
Answer : 
(154/3)cm

Question. A car has two wipers which do not overlap. Each wiper has a blade length of 25 cm and sweeping through an angle of 115˚. What will be the total area of the glass wiped at each sweep of the wiper blades.
Answer : 
1254.96 sq.cm

Question. The difference between the radii of the smaller circle and the larger circle is 7 cm and the difference between the areas of the two circles is 1078 sq.cm. Find the radius of the smaller circle.
Answer : 
r = 21 cm

Question. The circumference of a circle exceeds the diameter by 16.8 cm. Find the radius of the circle.
Answer : 
3.92 cm

Question. Diameter of a garden roller is 1.4 m. Find the cost of painting both circular faces of the roller at the cost of β‚Ή 120 per sq. m. (Take Ο€ = 22/7 )
Answer : 
Rs.369.6

Question. Find the ratio of area of the circle circumscribing a square to the area of a circle inscribed in the square.
Answer : 
2:1

Question. The minute hand of a clock is 10 cm long. Find the area of the face of the clock described by the minute hand 9 A.M and 9.35 A.M.
Answer : 
183.3 sq.cm

Question. The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distances travelled by their tips in 2 days.
Answer : 
1910.85 cm

Question. A square of diagonal 18 cm is inscribed in a circular plate. The square portion is cut using a LASER cutter and taken out. Find the area of the remaining portion of the circular plate.
Answer : 
92.57 sq.cm

Question. The central angles of two sectors of circles of radii 7cm and 21 cm are respectively 1200 and 400.Find the areas of the two sectors as well as the length of the corresponding arcs. What do you observe?
Answer : 
154/3,154,44/3,44/3arc lengths of 2 circles of diff. Radii may be same but areas need not be equal.

Question. In a circle with centre O and radius 5cm, AB is a chord of length 5√3 cm. Find the area of sector AOB.
Answer : 
(25πœ‹/3)cm2

Question. A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of 115Β°. Find the total area cleaned at each sweep of the blades.
Answer : (
158125/126) cm

Question. A chord of a circle of radius 15 cm subtends an angle of 60Β° at the centre. Find the areas of the corresponding minor and major segments of the circle. (Use Ο€ = 3.14 and √3 = 1.73)
Answer : 
20.4375 cm2 ; 686.0625 cm2

Question. A chord of a circle of radius 12 cm subtends an angle of 120Β° at the centre. Find the area of the corresponding segment of the circle. (Use Ο€ = 3.14 and √3 = 1.73)
Answer : 
88.44 cm2

Question. Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60Β°.
Answer :
(132/7) cm2

Question. To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle 80Β° to a distance of 16.5 km. Find the area of the sea over which the ships are warned. (Use Ο€ = 3.14)
Answer : 
189.97 km2

Question. A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding
(i) minor segment (ii) major sector. (Use Ο€ = 3.14)
Answer : 
(i) 28.5 cm2 (ii) 235.5 cm2

Question. The sum of the areas of two circle, which touch each other externally, is 153 . If the sum of their radii is 15, then find the ratio of the larger to the smaller radius .
Answer : 4:1

Question. An arc of a circle is of length 5 Ο€ cm and the sector it bounds has an area of 25 sq cm .Find radius of circle.
Answer : 8 cm

Question. The circumference of two circles are in the ratio 2:3. Then find ratio of their areas.
Answer :
4 : 9

Question. Find the area of sector of central angle xΒ° of a circle with radius 4r.
Answer : (2πœ‹π‘₯π‘Ÿ2/45Β°)cm2

Question. On increasing the diameter of circle by 40%,find how much its area will be increased?
Answer :
96%

Question. The minute hand of a clock is 12 cm long ,find the area swept by minute hand in 35 minutes. .
Answer : 264 cm2

Question. If the radius of a circle is diminished by 10%, then find how much area will diminished ?
Answer :
36%

Question. In a circle of radius 21 cm, an arc subtends an angle of 60Β° at the centre. Find length of the arc.
Answer : 22 cm

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CBSE Class 10 Mathematics Chapter 12 Areas Related to Circles VBQs

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VBQs for Mathematics CBSE Class 10 Chapter 12 Areas Related to Circles

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Chapter 12 Areas Related to Circles VBQs Mathematics CBSE Class 10

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Chapter 12 Areas Related to Circles CBSE Class 10 VBQs Mathematics

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CBSE VBQs Mathematics Class 10 Chapter 12 Areas Related to Circles

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