CBSE Class 10 Areas related to Circles Sure Shot Questions Set 04

Question. If the area of circular field is 30800 m\(^2\), then the perimeter of the field is
(a) 720 m
(b) \(360\sqrt{2}\) m
(c) 360 m
(d) None of the options
Answer: (d) None of the options

Question. The radii of two circles are 14 cm and 7 cm, respectively, then the radius of the circle which has circumference equal to sum of the circumference of the two circles.
(a) 21 cm
(b) 19 cm
(c) 18 cm
(d) 20 cm
Answer: (a) 21 cm

Question. The number of revolution made by circular wheel of radius 1.4 m in rolling a distance 176 m is
(a) 40
(b) 20
(c) 30
(d) 15
Answer: (b) 20

Question. The ratio of the outer and inner circumference of a circular path is 24 : 23. If the path is 5 m wide, then the diameter of the inner circle is
(a) 210 m
(b) 220 m
(c) 200 m
(d) 230 m
Answer: (d) 230 m

Question. If the radius of protractor is 3.5 cm, then the perimeter of protractor is
(a) 16 cm
(b) 17 cm
(c) 12 cm
(d) 18 cm
Answer: (d) 18 cm

Question. The short and long hands of a clock are 10 cm and 12 cm along, respectively. The sum of the distances travelled by their tips in one days is
(a) 1282 cm
(b) 1789 cm
(c) 1936 cm
(d) 1848 cm
Answer: (c) 1936 cm

Question. If the circumference of a circle increase from \(\pi\) to \(2\pi\), then its area ......... the original area.
(a) four times
(b) two times
(c) half times
(d) three times
Answer: (a) four times

Question. The minute hand of a clock is 12 cm long, then the area of the face of the clock described by the minute hand in 30 min is
(a) 220 cm\(^2\)
(b) 226.28 cm\(^2\)
(c) 246 cm\(^2\)
(d) 315 cm\(^2\)
Answer: (b) 226.28 cm\(^2\)

Question. If the sum of circumference and radius of a circle is 204 cm, then circumference of the circle is \( (\text{use } \pi = \frac{22}{7}) \)
(a) 170 cm
(b) 172 cm
(c) 176 cm
(d) None of the options
Answer: (c) 176 cm

Question. Area of a sector of a circle is \( \frac{1}{4} \) of the area of circle. The degree measure of its minor arc is
(a) 80°
(b) 90°
(c) 70°
(d) 60°
Answer: (b) 90°

Question. A paper is in the form of a rectangle ABCD in which AB = 18 cm and BC = 10.5 cm. A semi-circular portion with BC as diameter is cut-off. The area of remaining part is
(a) 143.60 cm\(^2\)
(b) 150.20 cm\(^2\)
(c) 146.25 cm\(^2\)
(d) 145.69 cm\(^2\)
Answer: (d) 145.69 cm\(^2\)