A circular plate of radius 7 cm is cut into 4 equal sectors. What is the total length of arc of all sectors? 

The radius of a circular segment is 6 cm and height of the segment is 2 cm. What is its area approximately?

An iron plate of 1 m² has 4 circular holes each of radius 7 cm. What is the remaining area of the plate? 

A workshop floor is made of two rectangles: one 10 m × 5 m, another 6m × 4 m. A circular pit of radius 1 m is at the corner. Find usable floor area. 

 A steel sheet is shaped like a sector with radius 8 m and angle 90°. Find the sheet’s area. 

 A semicircular ring has outer radius 10 cm and inner radius 5 cm. What is its area?

 A steel plate of area 1500 cm² is cut in such a way that two circular holes of radius 5 cm each are removed. What is the new area? 

The area of a square field is 10,000 m². A circular pond is built inside with radius 20 m. What is the remaining area?

A trapezium has bases 10 cm and 20 cm, height 5 cm. From it, a triangle of area 20 cm² is cut. Find the remaining area. 

A shop signboard is made in the shape of an ellipse with major axis 6m and minor axis 4 m. Find its area. 

 If the area of a triangle is 60 cm² and one side is 10 cm with corresponding height unknown, find the height.

A regular hexagon has a perimeter of 72 cm. What is its area?

 Two circles have radii 6 cm and 3 cm. What is the ratio of their areas? 

 A square has an area of 400 cm². If its side is increased by 20%, what is the new area? 

 What is the maximum number of complete circular holes (radius 2 cm) that can be punched from a square plate of side 20 cm?

The length and breadth of a rectangle are in the ratio 5:3. If its diagonal is 26 cm, find its area. 

Find the area of the shaded region in a square of side 10 cm with a quarter circle of radius 5 cm at one corner. 

The difference between the circumferences of two concentric circles is 44 cm. If the radius of the smaller circle is 7 cm, find the radius of the larger circle. 

 A triangle has angles in the ratio 1:2:3. If the longest side is 10 cm, what is its area?

The perimeter of a regular hexagon is equal to the circumference of a circle. What is the ratio of their areas?

A cone and a hemisphere have equal base and equal height. What is the ratio of their volumes? 

A hemisphere is melted and cast into 3 equal cones. If radius remains same, what is the ratio of the height of the cone to radius of hemisphere? 

 A tank in the shape of a cuboid is 5 m × 4 m × 3 m. How many litres of water can it hold?

 The lateral surface area of a cone is equal to its base area. What is the ratio of slant height to radius?

A cylindrical pipe has an internal radius of 7 cm and length 1.5 m. Find the internal surface area.