Q 1 – The area of a sector of a circle bounded by an arc of length 5π cm is equal to 20π cm2, then its radius is
(a) 12 cm
(b) 16 cm
(c) 8 cm
(d) 10 cm
Ans. (c) 8 cm
Q 2 – The area of a circle that can be inscribed in a square of side 10 cm is
(a) 40π cm²
(b) 30π cm²
(c) 100π cm²
(d) 25π cm²
Ans. (d) 25π cm²
Q 3 – 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
Ans. (a) 288 sq. cm
Q 4 – The perimeter of a square circumscribing a circle of radius a units is
(a) 2 units
(b) 4α units
(c) 8α units
(d) 16α units
Ans. (c) 8α units
Q 5 – If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is:
(a) 4 units
(b) n units
(c) 8 units
(d) 2 units
Ans. (c) 8 units
Q 6 – The diameter of a wheel is 1.26 m. The distance traveled in 500 revolutions is
(a) 2670 m
(b) 2880 m
(c) 1980 m
(d) 1596 m
Ans. (c) 1980 m
Q 7 – The perimeter of the sector with radius 10.5 cm and sector angle 60° is
(a) 32 cm
(b) 23 cm
(c) 41 cm
(d) 11 cm
Ans. (a) 32 cm
Q 8 – The area of a circle is 2464 sq. cm, then its diameter is given by
(a) 7cm
(b) 14cm
(c) 28cm
(d) 56cm
Ans. (d) 56 cm
Q 9 – The circumference of a circle exceeds its diameter by 120cm, then its radius is
(a) 56cm
(b) 14cm
(c) 42cm
(d) 28cm
Ans. (d) 28cm
Q 10 – If the radius of a circle is increased by 100%, then its area is increased by
(a) 100%
(b) 300%
(c) 200%
(d) 400%
Ans. (b) 300%
Q 11 The perimeter of a sector of radius 5.2 cm is 16.4 cm, the area of the sector is
(a) 31.2 cm²
(b) 15 cm²
(c) 15.6 cm²
(d) 16.6 cm²
Ans. (c) 15.6 cm²
Q 12 – 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
Ans. (a) 288 sq. cm
Q 13 – If ‘r’ is the radius of a circle, then its perimeter is given by
(a) pr
(b) 2pr
(c) 2pd
(d) none of these
Ans. (b) 2pr
Q 14 – If the perimeter of a semicircular protractor is 72 cm where π = 22/7, then the diameter of protractor is
(a) 14 cm
(b) 33 cm
(c) 28 cm
(d) 42 cm
Ans. (c) 28 cm
Q 15 – The area of the circle that can be inscribed in a square of side 10cm is
(a) 25 sq.cm
(b) 10p sq.cm
(c) 125p sq.cm
(d) 20p sq.cm
Ans. (c) 125p sq.cm
Q 16 – 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
Ans. (a) 8 a
Q 17 – If the radius of a circle is doubled, its area becomes
(a) 2 times
(b) 4 times
(c) 8 times
(d) 16 times
Ans. (b) 4 times
Q 18 – The diameter of a circle whose area is equal to sum of the areas of the two circles of radii 40 cm and 9 cm is
(a) 41 cm
(b) 49 cm
(c) 82 cm
(d) 62 cm
Ans. (c) 82 cm
Q 19 – The area of the largest square that can be inscribed in a circle of radius 12 cm is
(a) 24 cm²
(b) 249 cm²
(c) 288 cm²
(d) 196√2 cm²
Ans. (c) 288 cm²
Q 20 – If the sum of the circumferences of two circles with radii R1 and R2 is equal to the circumference of a circle of radius R, then
(a) R1 + R2 = R
(b) R1 + R2 > R
(c) R1 + R2 < R
(d) Can’t say;
Ans. (a) R1 + R2 = R
Q 21 – 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
Ans. (b) 14 : 11
Q 22 – The ratio of the areas of the in circle and circumcircle of a square is
(a) 1: 2
(b) 1 : 3
(c) 1: 4
(d) 1: v2
Ans. (a) 1 : 2
Q 23 – The perimeter of circular and square fields are equal. If the area of the square field is 484 m² then the diameter of the circular field is
(a) 14 m
(b) 21 m
(c) 28 m
(d) 7 m
Ans. (c) 28 m
Q 24 – A steel wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent in the form of a circle, then the circumference of the circle is
(a) 88 cm
(b) 44 cm
(c) 22 cm
(d) 11 cm
Ans. (b) 44 cm
Q 25 – If the diameter of a semicircular protractor is 14 cm, then its perimeter is .
(a) 27 cm
(b) 36 cm
(c) 18 cm
(d) 9 cm
Ans. (b) 36 cm
Q 26 – 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
Ans. (a) 10 m
Q 27 – If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is:
(a) 4 units
(b) 1 unit
(c) 8 units
(d) 2 units
Ans. (c) 8 units
Q 28 – A race track is in the form of a circular ring whose outer and inner circumferences are 396 m and 352 m respectively. The width of the track is
(a) 63 m
(b) 56 m
(c) 7 m
(d) 3.5 m
Ans. (c) 7 m