Areas Related to Circles Class 10 Worksheet Maths

Multiple Choice Questions
Q1: The part of the circular region enclosed by a chord and the corresponding arc of a circle is called
(a) a segment
(b) a diameter
(c) a radius
(d) a sector

Q2: If ‘r’ is the radius of a circle, then it's circumference is given by
(a) 2πr
(b) None of these
(c) πr
(d) 2πd

Q3: The angle described by the minute hand between 4.00 pm and 4.25 pm is
(a) 900
(b) 1500
(c) 1250
(d) 1000

Q4: If a line meets the circle in two distinct points, it is called
(a) a chord
(b) a radius
(c) secant
(d) a tangent

Q5: The perimeter of a protractor is
(a) πr
(b) πr+2r
(c) π+r
(d) π+2r

Q6: The perimeter of a circle having radius 5cm is equal to:
(a) 30 cm
(b) 3.14 cm
(c) 31.4 cm
(d) 40 cm

Q7: Area of the circle with radius 5cm is equal to:
(a) 60 sq.cm
(b) 75.5 sq.cm
(c) 78.5 sq.cm
(d) 10.5 sq.cm

Q8: The largest triangle inscribed in a semi-circle of radius r, then the area of that triangle is;
(a) r²
(b) 1/2r²
(c) 2r²
(d) √2r²

Q9: If the perimeter of the circle and square are equal, then the ratio of their areas will be equal to:
(a) 14:11
(b) 22:7
(c) 7:22
(d) 11:14

Q10: The area of the circle that can be inscribed in a square of side 8 cm is
(a) 36 π cm²
(b) 16 π cm²
(c) 12 π cm²
(d) 9 π cm²

Very Short Answer Question

Q1: A bicycle wheel makes 5000 revolutions in moving 11km.Find the diameter of the wheel.

Q2: A chord AB of a circle of radius 10 cm makes a right angle at the centre of the circle. Find the area of the minor and major segments.

Q3: Find the difference of the areas of a sector of angle 1200 and its corresponding major sector of a circle of radius 21 cm.

Q4: A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling

Long Question Answer

Q1: On a square cardboard sheet of area 784 cm², four circular plates of maximum size are placed such that each circular plate touches the other two plates and each side of the square sheet is tangent to circular plates. Find the area of the square sheet not covered by the circular plates.

You can access the solutions to this worksheet here.