Que 1) A bicycle wheel makes 5000 revolution in moving 11 km. find the diameter of the wheel. Ans. (d = 70 cm)
Que 2) The radius of the wheel of a bus is 70cm, how many revolutions per minute must a wheel make in order to move at a speed
of 66 km/h. Ans. (250)
Que 3) A wheel has diameter 84cm. Find how many complete revolutions must it make to cover 792 metres (300)
Que 5) Area of a sector of a circle of radius 14cm is 154 cm2 . Find the length of the corresponding arc of the sector (22 cm)
Que 6) If the diameter of a semi circle protractor is 14 cm. Find its perimeter (36cm)
Que 7) The circumference of a circle A is 132cm. It is equal to the sum of the circumference of two circles B & C, the radius of the circle B is 14cm. Find the radius of circle C. (r = 7 cm)
Que 8) The area of quadrant is 154sq cm. Find its perimeter. Ans. (50 cm)
Que 9) Two circles touch externally. The sum of their areas is 130π sq.cm and the distance between their centres is 14cm. Find the radii of
the Circles (11cm ,3cm)
Que 10) Find the area of a quadrant of a circle whose circumference is 44cm (38.5cm2)
Que 11) The perimeter of a sheet of paper in the shape of a quadrant of a circle is 75 cm. Find its area (346.5 sqcm)
Que 12) If the perimeter of the protractor is 72cm, calculate its area ( 308cm2
)
Que 14) A circular disc of 6cm radius is divided into 3 sectors with central angles 120˚, 150˚and 90˚.Find the ratio of the areas of 3 Sectors
(4: 5: 3)
Que 15) The difference between circumferences and diameter of a circle is 105 cm. Find the radius of the circle (24.5 cm)
Que 16) Find the area of a major sector of a circle of diameter 42 cm and central angle is 60˚ (1155cm2
)
Que 17) If the area and circumference of a circle are numerically equal, then find the radius of the circle (2cm)
Que 18) The length of a rope by which a cow is tethered is increased from 16m to 23m. How much additional area can the cow graze?
Now (π =22/7) (2.38 Ѳm2
)
Que 19) What will be the increase in area of circle if its radius is increased by 40% (96%)
Que 20) An arc of a circle is of length 5π cm and the sector it bounds has an area of 20π cm2 . Find the radius of the circle (8cm)
Que 21) The circumference of a circle exceeds the diameter by 16.8cm. Find the radius of circle (3.92cm)
Que 22) The area enclosed between two concentric circles is 770 sq cm. If the radius of outer circle is 21cm. Find the radius of the inner
circle. (14 cm)
Que 23) The length of the minute hand of a clock is 7cm. How much area does it sweep in 20minutes (154/3 cm2)
Que 24) The perimeter of a sector of a circle of radius 5.2cm is 16.4cm.Find the area of sector (15.6cm2)
Que 25) Given a circle of radius 9cm, and the length of the chord AB of a circle is 9√3 cm, find the area of the sector formed by arc AB.
(84. 85 cm2
)
Que 26) Length of minor arc of a circle of radius 10 cm is 14cm. Find the area of minor sector of a circle. (70cm2)
Que 27) A chord 10 cm long is drawn in a circle of radius √50 cm. Find the area of minor segment (14. 285 cm2)
Que 28) A chord AB of a circle of radius 14cm makes a right angle at the centre of the circle. Find the area of the minor segment. (π = 22/7)
(56 cm2)
Que 29) A chord of a circle of radius 14cm subtends an angle of 120˚ at the centre Find the area of the corresponding minor segment of The circle (π = 22/7, √3 = 1.73) (120.56 cm2 )
Que 32) Find the perimeter of the shaded region in the given figure (132 cm)
Que 33) If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is
a) 4 units b) π units c) 8 units d) 2units
Que 34) The area of a circle to the sum of areas of two circles of radii 5 cm and 12 cm is equal to a) 60 π b) 15π c) 13π d) 169 π
Que 35) The perimeter of a quadrant of radius r is
a) πr/2 b) 2πr c) 1/2r(π + 4) d) none of these
Que 36) The area of sector of angle p of a circle with radius 2r is
a) p x 2πr b) p x πr2
c) p x πr2 d) none of these
180 90 180
Que 37) The area of the region enclosed between two concentric circles of radii 8 cm and 4 cm is
a) 48 cm2
b) 80 cm2
c) 48 π cm2
d) 80 π cm2
Que 38) The radii of two circles are 4 cm and 3 cm respectively. The diameter of the circle having area equal to the sum of the areas of
The two circles is
a)5 cm b) 7 cm c) 10 cm d) 14 cm
Que 39) If an arc makes an angle of 72⁰ at the centre of a circle of radius 10 cm, then its length is :
a) 4 π cm b) 6 π cm c) 7 π cm d) 8 π cm
