SECTION B — Very Short Answer Type Questions [2 Marks Each]
- 2 Marks Q1.Find the area of a circle whose circumference is $22\text{ cm}$
- 2 Marks Q2. The radius of a circle is $7\text{ cm}$. Find the area of a quadrant of this circle.
- 2 Marks Q3. Find the area of a sector of a circle with radius $6\text{ cm}$ if angle of the sector is $60^\circ$.
- 2 Marks Q4. The perimeter of a sector of a circle of radius $5.2\text{ cm}$ is $16.4\text{ cm}$. Find the area of the sector.
- 2 Marks Q5. If the perimeter and the area of a circle are numerically equal, then find the radius of the circle
- 2 Marks Q6. The wheel of a car is of diameter $80\text{ cm}$ each. How many complete revolutions does each wheel make in $10\text{ minutes}$ when the car is travelling at a speed of $66\text{ km/h}$?
- 2 Marks Q7. Find the area of a circle that can be inscribed in a square of side $10\text{ cm}$.
- 2 Marks Q8. A chord of a circle of radius $10\text{ cm}$ subtends a right angle at the center. Find the area of the corresponding minor sector.
- 2 Marks Q9. Find the difference of the areas of a sector of angle $120^\circ$ and a sector of angle $60^\circ$ in a circle of radius $7\text{ cm}$.Find the difference of the areas of a sector of angle $120^\circ$ and a sector of angle $60^\circ$ in a circle of radius $7\text{ cm}$.
- 2 Marks Q10. The minute hand of a clock is $10\text{ cm}$ long. Find the area swept by the minute hand between $9\text{ AM}$ and $9:35\text{ AM}$.
- 2 Marks Q11. If the area of a circle is $154\text{ cm}^2$, find its perimeter (circumference).
- 2 Marks Q12. Find the area of a ring (annulus) whose outer and inner radii are $20\text{ cm}$ and $15\text{ cm}$ respectively.
- 2 Marks Q13. A park is in the form of a circle of radius $7\text{ m}$. A path $3.5\text{ m}$ wide is run around it outside. Find the area of the path.
- 2 Marks Q14. Find the length of an arc of a circle of radius $14\text{ cm}$ which subtends an angle of $60^\circ$ at the center.
- 2 Marks Q15. An arc of length $22\text{ cm}$ subtends an angle of $50^\circ$ at the center of a circle. Find the radius of the circle.
- 2 Marks Q16. The area of a sector of a circle of radius $21\text{ cm}$ is $462\text{ cm}^2$. Find the angle subtended by the arc at the center.
- 2 Marks Q17. Find the perimeter of a semicircular protractor whose radius is $7\text{ cm}$.
- 2 Marks Q18. A horse is tied to a peg at one corner of a square grassy field of side $15\text{ m}$ by means of a $5\text{ m}$ long rope. Find the area of that part of the field in which the horse can graze.
- 2 Marks Q19. Find the area of a quadrant of a circle whose circumference is $44\text{ cm}$
- 2 Marks Q20. In a circle of radius $21\text{ cm}$, an arc subtends an angle of $60^\circ$ at the center. Find the length of the arc and the area of the sector formed by the arc.
- 2 Marks Q21. Find the area of the sector of a circle with radius $4\text{ cm}$ and of angle $30^\circ$. Also, find the area of the corresponding major sector.
- 2 Marks Q22. The radii of two circles are $8\text{ cm}$ and $6\text{ cm}$ respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.
- 2 Marks Q23. The radii of two circles are $19\text{ cm}$ and $9\text{ cm}$ respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
- 2 Marks Q24. A copper wire when bent in the form of a square encloses an area of $121\text{ cm}^2$. If the same wire is bent into the form of a circle, find the area of the circle.
- 2 Marks Q25. A bicycle wheel makes $5000$ revolutions in moving $11\text{ km}$. Find the diameter of the wheel.
Academic Repository Disclaimer & எச்சரிக்கை அறிவிப்பு :
English: These model solutions are structured to global academic standards for self-assessment and practice purposes. Students are advised to verify with official textbooks for board examinations.
தமிழ்: இந்த மாதிரி கணிதத் தீர்வுகள் மாணவர்களின் சுய கற்றல் மற்றும் பயிற்சித் திறனுக்காக உலகளாவிய கல்வித் தரத்தில் உருவாக்கப்பட்டுள்ளன. தேர்வுகளுக்குத் தயாராகும் போது உங்கள் அதிகாரப்பூர்வ பாடப்புத்தகத்துடன் சரிபார்க்கவும்.
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