Class 10 Areas Related to Circles Previous Year Questions
Q1:
A stable owner has four horses. He usually tie these horses with 7m long rope to pegs at each corner of a square shaped grass field of 20m length, to graze in his farm. But trying with rope sometimes results in injuries to his horses, so he decided to build fence around the area so that each horse can graze. Based on the above, answer the following questions: (i) Find the area of the square shaped grass field. (ii) (a) Find the area of the total field in which these horses can graze. OR (b) If the length of the rope of each horse is increased from 7m to 10m, find the area grazed by one horse. (Use π = 3.14) (iii) What is area of the field that is left ungrazed, if the length of the rope of each horse is 7cm.
CBSE [2024]
MediumQ2:
The perimeter of a certain sector of a circle of radius 5.6 m is 20.0 m. Find the area of the sector.
CBSE [2024]
EasyQ3:
An arc of a circle of radius 21 cm subtends an angle of 60° at the centre. Find: (i) the length of the arc. (ii) the area of the minor segment of the circle made by the corresponding chord.
CBSE [2024]
MediumQ4:
In the given figure, AB and CD are diameters of a circle with centre O perpendicular to each other. If OA = 7cm, find the area of shaded region.
CBSE [2023]
MediumQ5:
The circumferences of two circles are in the ratio 4 : 5. What is the ratio of their radii ?
CBSE [2023]
EasyQ6:
Governing council of a local public development authority of Dehradun decided to build an adventurous playground on the top of a hill, which will have adequate space for parking. After survey, it was decided to build rectangular playground, with a semi-circular area allotted for parking at one end of the playground. The length and breadth of the rectangular playground are 14 units and 7 units, respectively. There are two quadrants of radius 2 units on one side for special seats. Based on the above information, answer the following questions: (i) What is the total perimeter of the parking area ? (ii) (a) What is the total area of parking and the two quadrants ? OR (b) What is the ratio of area of playground to the area of parking area ? (iii) Find the cost fencing the playground and parking area at the rate of ₹2 per unit.
CBSE [2023]
MediumQ7:
The hour-hand of a clock is 6cm long. The angle swept by it between 7:20 a.m. and 7:55 a.m. is:
CBSE [2023]
MediumQ8:
What is the length of the arc of the sector of a circle with radius 14 cm and of central angle 90° ?
CBSE [2023]
EasyQ9:
In an annual day function of a school, the organizers wanted to give a cash prize along with a memento to their best students. Each memento is made as shown in the figure and its base ABCD is shown from the front side. The rate of silver plating is ₹20 per cm². Based on the above, answer the following questions: (i) What is the area of the quadrant ODCO ? (ii) Find the area of ∆AOB. (iii) (a) What is the total cost of silver plating the shaded part ABCD ? OR (b) What is the length of arc CD ?
CBSE [2023]
MediumQ10:
