Question 1 :
The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?
Question 2 :
To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle $80^{\circ}$ to a distance of 16.5 km . Find the area of the sea over which the ships are warned. (Use $\pi$= 3.14)
Question 3 :
A circular pond is 17.5 m of diameter. It is surrounded by a 2 m wide path. Find the cost of constructing the path at the rate of Rs. 25 per $m^2$.
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b37273b230584979956.jpg' />
In the above figure, AB is the diameter of the circle, AC = 6 cm and BC = 8 cm. Find the area of the shaded region (Use $\pi=3.14$).
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a45273b23058497990f.jpeg' />
The above figure depicts an archery target marked with its five scoring regions from centre outwards as gold, red, blue, black and white. The diameter of the region representing gold score is 21 cm and each of the ofher bands is 10.5 cm wide. Find the area of each of the gold scoring region.
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bb5273b2305849799fc.png' />
Find the area of the shaded region in the above figure, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.
Question 7 :
Find the area of the segment of a circle of radius 12 cm whose corresponding sector has a central angle of $60^{\circ}$ (Use $\pi=3.14$).
Question 8 :
A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of $60^{\circ}$ at its centre. Find the radius of the circle.
Question 9 :
Find the diameter of the circle whose area is equal to the sum of the areas of the two circles of diameters 20 cm and 48 cm.
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bb3273b2305849799fa.png' />
In the above figure , an umbrella has 8 ribs which are equally spaced . Assuming umbrella to be a flat circle of radius 45 cm , find the area between the two consecutive ribs of the umbrella.
Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b3a273b23058497995a.jpg' />
In the above figure, arcs are drawn by taking vertices A, B and C of an equilateral triangle of side 10 cm to intersect the sides BC, CA and AB at their respective mid-points D, E and F. Find the area of the shaded region (Use $\pi=3.14$).
Question 12 :
Find the difference of tha areas of a sector of an angle $120^{\circ}$ and its corresponding major sector of a circle of radius 21 cm.
Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bbd273b230584979a06.png' />
The area of an equilateral triangle ABC is 17320.5 $cm^{2}$ . With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see the above image). Find the area of the shaded region. (Use $\pi$= 3.14 and $\sqrt{3}$ = 1.73205)
Question 14 :
On a square cardboard sheet of area 784 $cm^2$, four congruent 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 two circular plates. Find the area of the square sheet not covered by the circular plates.
Question 15 :
Find the difference of the areas of two segments of a circle formed by a chord of length 5 cm subtending an angle of $90^{\circ}$ at the centre.
Question 16 :
A circular park is surrounded by a road 21 m wide. If the radius of the park is 105 m, find the area of the road.
Question 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19baf273b2305849799f5.png' />
The above image depicts an archery target marked with its five scoring regions from the centre outwards as Gold, Red, Blue, Black and White. The diameter of the region representing Gold score is 21 cm and each of the other bands is 10.5 cm wide. Find the area of the white scoring region.
Question 18 :
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
Question 19 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b3c273b23058497995d.jpg' />
In the above figure, ABCD is a trapezium with $AB\ \parallel\ DC$, AB = 18 cm, DC = 32 cm and distance between AB and DC is 14 cm. If arcs of equal radii 7 cm with centres A, B, C and D have been drawn, then find the area of the shaded region.
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bbe273b230584979a07.png' />
In the above figure , nine circular designs each of radius 7 cm are made on a square handkerchief . Find the area of the remaining portion of the handkerchief.
Question 21 :
It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bad273b2305849799f2.png' />
The above image depicts an archery target marked with its five scoring regions from the centre outwards as Gold, Red, Blue, Black and White. The diameter of the region representing Gold score is 21 cm and each of the other bands is 10.5 cm wide. Find the area of the red scoring region.
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bb4273b2305849799fb.png' />
(As shown in the above figure)A round table cover has six equal designs . If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs 0.35 per $cm^2$ . (Use $\sqrt{3}$ = 1.7)
Question 24 :
The numerical value of the area of a circle is greater than the numerical value of its circumference. Is it true or false?
Question 25 :
Area of a sector of a circle of radius 36 cm is 54 $\pi\ cm^2$ . Find the length of the corresponding arc of the sector.
Question 26 :
Area of a sector of central angle $200^{\circ}$ of a circle is $770\ cm^2$. Find the length of the corresponding arc of this sector.
Question 27 :
Find the area of a quadrant of a circle whose circumference is 22 cm.
Question 28 :
The radii of two circless are 19 cm and 9 cm, respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circless.
Question 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bbe273b230584979a08.png' />
In the above figure , OACB is a quadrant of a circle with centre O and radius 3.5 cm . If OD = 2 cm , find the area of the quadrant OACB.
Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bbf273b230584979a09.png' />
In the above figure , OACB is a quadrant of a circle with centre O and radius 3.5 cm . If OD = 2 cm , find the area of the shaded region.
