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

Unit Test: Areas Related to Circles | Mathematics (Maths) Class 10 PDF Download

Time: 1 hour

M.M. 30

Attempt all questions.

  • Question numbers 1 to 5 carry 1 mark each.
  • Question numbers 6 to 8 carry 2 marks each.
  • Question numbers 9 to 11 carry 3 marks each.
  • Question number 12 & 13 carry 5 marks each.

Q1: If the perimeter of the circle and square are equal, then the ratio of their areas will be equal to: (1 Mark)

(a) 14:11
(b) 22:7
(c) 7:22
(d) 11:14

Q2: The area of the circle that can be inscribed in a square of side 8 cm is (1 Mark)

(a) 36 π cm2
(b) 16 π cm2
(c) 12 π cm2
(d) 9 π cm2

Q3: The area of a sector of a circle with radius 6 cm if the angle of the sector is 60°.  (1 Mark)

(a) 142/7
(b) 152/7
(c) 132/7
(d) 122/7

Q4: In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. The area of the sector formed by the arc is:  (1 Mark)

(a) 200 cm2
(b) 220 cm2
(c) 231 cm2
(d) 250 cm2

Q5: If the area of a circle is 154 cm2, then its perimeter is  (1 Mark)

(a) 11 cm
(b) 22 cm
(c) 44 cm
(d) 55 cm

Q6: What is the area of a circle whose circumference is 44 cm?  (2 Marks)

Q7: Find the area of the sector of a circle with a radius of 4 cm and of angle 30°. Also, find the area of the corresponding major sector (Use π = 3.14) (2 Marks)

Q8: Calculate the area of a sector of angle 60°. Given, the circle has a radius of 6 cm. (2 Marks)

Q9: Calculate the perimeter of an equilateral triangle if it inscribes a circle whose area is 154 cm2  (3 Marks)  

Q10: Find the Radius of a circle whose Circumference is equal to the sum of the circumferences of two circles of radii 15 cm and 18 cm. (3 Marks)

Q11: A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major segments of the circle.  (Use π = 3.14 and √3 = 1.73) (3 Marks)

Q12: A chord of a circle of Radius 10 cm subtends a right angle at the center. Find the Area of the corresponding: (5 Marks)

(i) minor segment
(ii) major sector. (Use π = 3.14)

Q13: A chord of the circle of Radius 15 cm makes the angle of 60° at the center. Find out the areas for the corresponding minor and the major segments of the circle. (Use π = 3.14 and √3 = 1.73) (5 Marks)


You can find the solutions of this Unit Test here: Unit Test (Solutions): Areas Related to Circles

The document Unit Test: Areas Related to Circles | Mathematics (Maths) Class 10 is a part of the Class 10 Course Mathematics (Maths) Class 10.
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FAQs on Unit Test: Areas Related to Circles - Mathematics (Maths) Class 10

1. What is the formula to calculate the area of a circle?
Ans. The area of a circle can be calculated using the formula A = πr², where A is the area and r is the radius of the circle.
2. How do you find the circumference of a circle?
Ans. The circumference of a circle can be found using the formula C = 2πr, where C is the circumference and r is the radius of the circle.
3. What is the relationship between the diameter and the radius of a circle?
Ans. The radius of a circle is half of the diameter. Thus, the diameter can be calculated using the formula D = 2r, where D is the diameter and r is the radius.
4. How can I find the area of a sector of a circle?
Ans. The area of a sector can be calculated using the formula A = (θ/360) × πr², where A is the area, θ is the central angle in degrees, and r is the radius of the circle.
5. What is the difference between the area and the circumference of a circle?
Ans. The area of a circle refers to the space enclosed within the circle, measured in square units, while the circumference is the distance around the circle, measured in linear units.
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