Practice Test

Q1) If the circumference of a circle and the perimeter of a square are equal, then: Show Answer

Q2) Area of the largest triangle that can be inscribed in a semi-circle of radius 'r' units is: Show Answer

Q3) If the perimeter of a circle is equal to that of a square, then the ratio of their areas is: Show Answer

Q4) 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: Show Answer

Q5) The area of the circle that can be inscribed in a square of side 6 cm is: Show Answer

Q6) The area of the square that can be inscribed in a circle of radius 8 cm is: Show Answer

Q7) In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choices as.
Assertion(A):The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is 50 cm.
Reason(R):If the perimeter and the area of a circle are numerically equal, then the radius of the circle is 2 units. Show Answer

Q8) In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choices as.
Assertion(A):If circumferences of two circles are equal, then their areas will be equal.
Reason(R): If the areas of two circles are equal, then their circumferences are equal. Show Answer

Q9) In a right angled triangle, right-angled at B, BC = 12 cm and AB = 5 cm. The radius of the circle inscribed in the triangle (in cm) is: Show Answer

Q10) If the area of a circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is: Show Answer

Q11) The radii of two circles are 4 cm and 3 cm respectively. The diameter of the circle having an area equal to the sum of the two circles (in cm) is: Show Answer

Q12) If the area of a circle is numerically equal to twice its circumference then the diameter of the circle is: Show Answer

Q13) The circumference of a circular field is 528 cm. Then the radius will be: Show Answer

Q14) The area of the circle that can be inscribed in a square of side 5 cm is Show Answer

Q15) 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 35 minutes is: Show Answer

Q16) If the circumference and the area of a circle are numerically equal, then diameter of the circle is: Show Answer

Q17) The area of a circular field is 13.86 hectares. Find the cost of fencing at the rate of Rs. 4.40 per metre: Show Answer

Q18) The diameter of the driving wheel of a bus is 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 66 kmph? Show Answer

Q19) A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel? Show Answer

Q20) The inner circumference of a circular race track, 14 m wide is 440 m. Find the radius of the outer circle. Show Answer

Q21) If the radius of a circle is incresed by 75%, then its circumference will increase by: Show Answer

Q22) A can go round a circular path 8 times in 40 minutes. If the diameter of the circle is increased to 10 times the original diameter, then the time required by A to go round the new path once, traveling at the same speed as before is: Show Answer

Q23) If the radius of a circle is doubled, its area is increased by Show Answer

Q24) If the radius of a circle is dinimished by 10%, then its area is diminished by Show Answer

Q25) If the area of a semi circular region is 308 sq. cm. then its perimeter is Show Answer

Q26) If the perimeter and the area of a circle are numerically equal, then the radius of the circle is: Show Answer

Q27) Area of a sector of angle p (in degree) of a circle with radius R is: Show Answer

Q28) Assertion : Sector is the region between the chord and its corresponding arc.
Reason : To define an arc we need at least 2 points. Show Answer

Q29) Assertion : The area enclosed by a chord and the major arc is major segment.
Reason : If a circle is divided into three equal arcs, then each is a major arc. Show Answer

Q30) The area of Shallow is: Show Answer

Q31) The area of swimming pool is: Show Answer

Q32) The area of deeper section is: Show Answer

Q33) What is the area of trapezium shaped stadium? Show Answer

Q34) What is the radius of the circular cricket field? Show Answer

Q35) What is the area of blue shaded part of the stadium (other than cricket field)? Show Answer

Q36) The radius of the circular wooden table top is: Show Answer

Q37) The area of the circular wooden table top is: Show Answer

Q38) Area of the segment is: Show Answer

Q39) The total area to be cut from the circular table top to form a square table top: Show Answer

Q40) What is the new area of the table top? Show Answer

Q41) Total area of the stadium is: Show Answer

Q42) The area of the ground covered by the throwing circle is: Show Answer

Q43) The area of the ground covered by the throwing area is: Show Answer

Q44) The length of the arc of the throwing area is: Show Answer

Q45) The area of the ground in the semi-circular shape is: Show Answer

Q46) What is the area of the grass field? Show Answer

Q47) The grazing area if the rope were 10 m long instead of 5 m. Show Answer

Q48) The area of that part of the field in which the horse can graze. Show Answer

Q49) The increase in the grazing area if the rope were 10 m long instead of 5 m. Show Answer

Q50) The given problem is based on which concept? Show Answer

Q51) What is the radius of the circle? Show Answer

Q52) What is the circumference of the brooch? Show Answer

Q53) What is the total length of silver wire required? Show Answer

Q54) What is the area of the each sector of the brooch ? Show Answer

Q55) The given problem is based on which mathematical concept ? Show Answer

Q56) The side of equilateral triangle is Show Answer

Q57) The altitude of the equilateral triangle is Show Answer

Q58) The area of square is Show Answer

Q59) Area of each circular design is Show Answer

Q60) Area of the remaining portion of the square ABCD is Show Answer

Q61) The total length of silver wire required is Show Answer

Q62) The area of each sector of the brooch is Show Answer

Q63) The circumference of outer part (golden) is Show Answer

Q64) The difference of areas of golden and silver parts is Show Answer

Q65) A boy is playing with brooch B. He makes revolution with it along its edge. How many complete revolutions must it take to cover 80 mm ? Show Answer

Q66) If the circumference of a circle is 352 meters, then its area in square meters is Show Answer

Q67) The diameter of a wheel is 1.26 m. The distance traveled in 500 revolutions is Show Answer

Q68) If the circumference of two circles are in the ratio 4 : 9, then the ratio in their area is Show Answer

Q69) The ratio of the area of the incircle and circumcircle of a square is Show Answer

Q70) A circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is Show Answer