Class 10 Exam  >  Class 10 Notes  >  Mathematics (Maths) Class 10  >  Worksheet: Areas Related to Circles

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.

The document Areas Related to Circles Class 10 Worksheet Maths is a part of the Class 10 Course Mathematics (Maths) Class 10.
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FAQs on Areas Related to Circles Class 10 Worksheet Maths

1. How do you calculate the area of a circle?
Ans. The area of a circle can be calculated using the formula A = πr², where A represents the area and r represents the radius of the circle. Simply square the radius and multiply it by π to find the area.
2. What is the relationship between the radius and diameter of a circle?
Ans. The diameter of a circle is twice the length of its radius. In other words, the diameter is equal to 2 times the radius. Mathematically, we can represent this relationship as D = 2r, where D is the diameter and r is the radius.
3. Can you find the area of a circle if you only know the diameter?
Ans. Yes, the area of a circle can be calculated using the diameter. If you only know the diameter (D), you can find the radius (r) by dividing the diameter by 2. Once you have the radius, you can use the formula A = πr² to calculate the area.
4. How is the circumference of a circle related to its radius?
Ans. The circumference of a circle is directly related to its radius. The circumference (C) of a circle can be calculated using the formula C = 2πr, where r represents the radius. It means that the circumference is equal to 2 times π times the radius.
5. Can the area of a circle be greater than its circumference?
Ans. No, the area of a circle cannot be greater than its circumference. The circumference represents the distance around the circle, while the area represents the amount of space enclosed by the circle. Since the circumference is directly related to the radius, it will always be greater than the area.
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