The area of the circle is 2464 m² and the square is marked outside the circle by touching the circumference of the circle. Find the area of the square and the circumference of the circle.

If the length of the rectangle is increased by 20% and the breadth of the rectangle is decreased by 15%, then the area of the rectangle becomes 510 cm². Find the area of the original rectangle.

In measuring the sides of a rectangle, one side is taken 10% in excess, and the other 8% in deficit. The error percent in the area calculated from these measurements is: (Selection Post Matriculation level)

The perimeters of two squares are 52 cm and 20 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of these two squares.

Eswar bought a new plot which needs to be fenced immediately, due to this length as well as the breadth of the rectangular working place is reduced by 16%. Find the percentage decrease in the area.

The length of a rectangle is 10 cm more than the side of a square and its breadth is 8 cm less than the side of the square. If the areas of both the rectangle and square are equal, then what will be the perimeter (in cm) of the rectangle?

If the breadth of the rectangle is one-fourth of the side of the square and the length of the rectangle is equal to the radius of the circle whose circumference is 308 cm. If the perimeter of the square is 144 cm. Then find the area of the rectangle.

A rectangular carpet has area 162.5 m² and the perimeter is 70 m. Then find the length of diagonal of the carpet.

The diameter of a circle is 35 cm. Find the length of the arc of a sector, if the area of the sector is 385 cm² .

The circumference of two circles is 484 m and 1012 m respectively. What is the difference between the area of the larger circle and smaller circle?

A rectangular garden has a length of 132.5 cm and a breadth of 93.67 cm. Four square-shaped tables having sides of 13.5 are placed in the garden. The remaining area is what percent of the area of the rectangle?

A sector of a circle has a central angle of 45° and an arc length of 22 cm. Find the radius of the circle. ( Use π = \({{22} \over 7}\)).

Find the area of a minor sector of a circle whose circumference is 88 cm and the length of its minor arc is 22 cm (use π = 22/7)

A wire is in the form of square with side 11 cm. It is bent to form a circle. What is the radius of the circle?

The area of a rectangular field is 480 m². If the length is 20% more than the breadth, then the length of the rectangular field is:

Louis bought a new plot which need to be fenced immediately. Due to this, the length as well as the breadth of the rectangular decreases by 7%. Find the change in area.

A circle and a semicircle have equal radius i.e. 6 cm. Find the sum of the circumference of the circle and semicircle (in cm).

If the breadth of the rectangle is one-fourth of the side of the square and the length of the rectangle is equal to the radius of the circle whose circumference is 308 cm. If the perimeter of the square is 144 cm. Then find the area of the rectangle.

If the sides of the rectangular box are increased by 6.25%, then find the ratio of the old area to the new area of the rectangular box.

The diagonal of the square is 8√2 cm. Find the diagonal of another square whose area is triple that of the first square.

What will be the percentage increase in the area of a square if each of its sides is increased by 20%?

The perimeter of a rectangle is 22 cm and the length is 1 cm. What is the area of the rectangle?

The ratio of the outer and the inner circumference of a circular path is 17 : 15, If the path is 40 metres wide, then what is the radius of the inner circle?

If the side of a square is (x + 3) meter and the perimeter is (5x + 5) meter, then find the area of the square.

The length of the diagonal of the square is 51\(\sqrt2\) cm. Find the numerical value of the sum of its area and its perimeter.

A wire is bent in the shape of a right-angled triangle with a base of 16 cm and an area 96 sq. cm. Same wire is now bent in the form of a square. Find the percentage increase/decrease in area.

The sum of radius of the two circles is 91 cm and the difference between their areas is 2002 cm². What is the radius (in cm) of the larger circle?

There is a semi-circular park of a radius of 70m in the city. The mayor decided to fence the border of the park. The cost of fencing is Rs.50/m then what is the total cost in dollars?
(1$ = Rs.80)

Four circles of the same radius are cut out from a bigger circle along the diameter as given in the figure. If the area of the paper cut out is 154 cm², then find the area of the remaining region. (in cm²)

What will be the area of the largest circle, which can be inscribed in a square whose perimeter is 480 cm?

The ratio between the length and breadth of a rectangular field is 9 : 4. Calculate the cost of levelling the field at Rs 4.50 per meter square, if the perimeter of the field is 52 meters.

A square is inscribed in a circle then find the area of the shaded region if the diameter of the circle is 2√2 units.

If the area of a quarter circle radius of 14 cm is equal to the side of a square, then find the area of the square.

Find the perimeter of the figure formed by joining 1728 squares together linearly with the sides of each square(in m) equal to the third root of a number of squares joined in total. (in m)

The area of the rectangle is four times the area of the square. If the length of the rectangle is 60 cm and the breadth of the rectangle is equal to the side of the square, then find the side of the square.

If the perimeter of the square is 156cm then what is the area of the square?

The perimeter of both a rectangle and a square is 340 m. If the area of the square is 225 more than the area of the rectangle. What will be the breadth of the rectangle if the breadth is greater than the length of the rectangle?

A copper wire in the form of a square with an area of 1764 cm² is bent to form a circle. What will be the area of the circle?

A rectangle with a side length of 28 cm and width 45 cm is inscribed inside a larger circle. Calculate the area outside the rectangle but inside the circle.

The cost of fencing a square lawn at Rs. 20 per metre is Rs. 1200. Find the area of the square lawn.

The area of a rectangle is 42 sq. cm and its length is 7 cm. Find its perimeter.

The length of the diagonal of a square is given as 14√2 cm. What is the area of the square?

The length of a rectangular park is 20 meters more than its breadth. If the cost of fencing the park at Rs. 53 per meter is Rs. 21200, then what is the area (in m²) of the park?

The height and the base of the right angle triangle increased by 10% and 20% respectively and the area of the newly formed triangle is 396 units. Find the area of the original triangle.

The width of the rectangle is 90 cm and its diagonal is 150 cm. Find the perimeter of the rectangle (in cm)

The length of the diagonal of the square is 51\(\sqrt2\) cm. Find the numerical value of the sum of its area and its perimeter.

The circular path has an inner diameter and an outer diameter of 330 m and 358 m respectively. Find the area of the circular path.

Base of a triangle is 32 cm and area is 280 cm². Breadth of a rectangle is 20% more than the height of triangle while length is 87.5% of base of triangle. Find area of rectangle (in cm²).

If thrice the perimeter of a square is 5 cm less than 5 times the sum of its diagonals, then find the side of the square.

If the side of a square is (x + 3) meter and the perimeter is (5x + 5) meter, then find the area of the square.