CBSE Class 10 Mathematics Area Related To Circle Worksheet Set 02

 

10. OABC is a rhombus whose three vertices A, B and C lie on a circle with centre O. Find the area of the rhombus, if the area of the circle is 1386 cm². (220.5√3cm²)

 

11. The area enclosed between the two concentric circles is 346.5 cm². The circumference of the inner circle is 88 cm. Find the radius of the outer circle. . (CBSE 2012) (17.5cm)

 

12. A steel wire when bent in the form of a square encloses an area of 121 sq. cm. If the same wire is bent into the form of a circle, find the area of the circle. (154 cm²)

 

SECTION D:

 

13. The diameters of front and rear wheels of a tractor are 80 cm and 2 m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.  (280)

 

14. Find the area of the shaded region for fig3. (154.86cm²)

 

15. Find the area of shaded region in fig.4, where a circle of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm. (Use π = 3.14 and √3 = 1.73)

Question. Find the circumference and the area of a circle of diameter 35 cm.
Answer: 110 cm, 962.5 \( cm^{2} \)

Question. The circumference of a circle is 39.6 cm. Find its area.
Answer: 134.74 \( cm^{2} \)

Question. The area of a circle is 301.84 \( cm^{2} \). Find its circumference.
Answer: 61.6 cm

Question. A wire when bent in the form of an equilateral triangle encloses an area of 121 \( \sqrt{3} cm^{2} \). The same wire is bent to form a circle. Find the area enclosed by the circle.
Answer: 346.5 \( cm^{2} \)

Question. The length of a chain used as the boundary of a semicircular park is 90 m. Find the area of the park.
Answer: 481.25 \( cm^{2} \)

Question. The sum of the radii of two circles is 7 cm, and the difference of their circumferences is 8 cm. Find the circumferences of the circles.
Answer: 26 cm, 18 cm

Question. Find the area of a ring whose outer and inner radii are respectively 23 cm and 12 cm.
Answer: 1210 \( cm^{2} \)

Question. A path of 8 m width runs around the outside of a circular park whose radius is 17 m. Find the area of the path.
Answer: 1056 \( m^{2} \)

Question. Find the area of a quadrant of a circle whose circumference is 22 cm.
Answer: 9.625 \( cm^{2} \)

Question. A horse is placed for grazing inside a rectangular field 70 m by 52 m. It is tethered to one corner by a rope 21 m long. On how much area can it graze ? How much area is left ungrazed ?
Answer: 346.5 \( m^{2} \), 3293.5 \( m^{2} \)

Question. A horse is tethered to one corner of a field which is in the shape of an equilateral triangle of side 12 m. If the length of the rope is 7 m, find the area of the field which the horse cannot graze. Take \( \sqrt{3} \) = 1.732. Write the answer correct to 2 places of decimal.
Answer: 36.69 \( m^{2} \)

Question. Four cows are tethered at the four corners of a square field of side 50 m such that each can graze the maximum unshared area. What area will be left ungrazed ? Take \( \pi \) = 3.14.
Answer: 537.5 \( m^{2} \)

Question. If three circles of radius a each, are drawn such that each touches the other two, then find the area included between them. (Take \( \pi \) = 3.14 and \( \sqrt{3} \) = 1.732)
Answer: \( \frac{4}{25} a^{2} \)

Question. Four equal circles, each of radius a units, touch each other. Find the area between them.
Answer: \( \frac{6}{7} a^{2} \)

Question. A rope by which a cow is tethered is increased from 16 m to 23 m. How much additional ground does it have now to graze ?
Answer: 858 \( m^{2} \)

Question. A pendulum swings through an angle of 30º and describes an arc 8.8 cm in length. Find the length of the pendulum.
Answer: 16.8 cm

Question. A circular disc of radius 6 cm is divided into three sectors with central angles 90º, 120º and 150º. What part of the whole circle is the sector with central angle 150º? Also, calculate the ratio of the areas of the three sectors.
Answer: 5/12; 3 : 4 : 5

Please click on below link to download CBSE Class 10 Mathematics Area Related To Circle Worksheet Set B