Mechanical - UNIT - 6 - Mensuration - Area of Cut-Out Regular - MCQ
The area between two concentric semicircles of radii 10 cm and 6 cm is:
An irregular L-shaped room is made by joining two rectangles: one 8 m × 4 m, another 6 m × 3 m. Find total area.
A circular garden of radius 10 m has a path of width 2 m around it. Find the area of the path.
A square park has a circular fountain of diameter equal to the side of the square. What percentage of the area is not covered by the fountain?
An iron sheet is cut in the shape of a semicircular ring with outer radius 10 cm and inner radius 6 cm. Find its area.
The diagonal of a square is 10√2 cm. What is the area of the square?
A triangle has sides 13 cm, 14 cm, and 15 cm. What is its perimeter and area respectively?
The area of a semicircle is 77 cm². What is its radius?
A parallelogram and a triangle have equal base and height. What is the ratio of their areas?
A circle is inscribed inside a square. What percentage of the square’s area is not occupied by the circle?
The base and height of a triangle are increased by 20%. The area increases by:
Find the area of an equilateral triangle of side 12 cm.
A rectangle has length and breadth in the ratio 3:2. If its area is 150cm², what is the length?
A sector of a circle has an arc length of 11 cm and radius 7 cm. What is the angle of the sector?
The perimeter of a semicircle (including diameter) is 36 cm. Find its radius.
The volume of a cone is 231 cm³ and height is 7 cm. Find the radius.
A metal ball of radius 4.2 cm is melted and recast into smaller balls of radius 1.4 cm. How many balls are formed?
TSA of a cylinder is equal to that of a cube with edge 14 cm. If the height of the cylinder is 28 cm, find its radius.
A conical tank has radius 1 m and height 2 m. What is its capacity in litres?
A hollow cylinder has an inner radius 5 cm and outer radius 6 cm. If its height is 10 cm, find its volume.
If the volume of a cylinder is equal to the volume of a cone, and they have equal base radius, what is the ratio of their heights?
A box of dimensions 20 cm × 10 cm × 5 cm is filled with sand. How many cylindrical glasses of diameter 5 cm and height 5 cm can be filled from it?
A solid metal sphere of radius 5 cm is melted into smaller cubes of side 1 cm. How many cubes are formed?