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).

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 half the side of a square whose area is 144 cm². What is the area of the circle?

Find the area of the circle whose circumference is equal to the perimeter of a square of side 24 cm.

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 semicircle of area 1250π cm is inscribed inside a rectangle. The diameter of the semicircle coincides with the length of the rectangle. The area of the rectangle is:

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?

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.

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.

Ramu bought a new plot which need to be fenced immediately, due to this the length and the breadth of the rectangular working place is reduced by 18% respectively. Find the % decrease in the area.

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:

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 length of the rectangle increases by 44% whereas its breadth increases by 25%. What is the ratio of the new area of the rectangle and the old area of the rectangle?

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)

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.

Area of the equilateral triangle is 49√3 m² and the length of the rectangle is 6m more than the side of the equilateral triangle. If the breadth of the rectangle is 25 m, then find the area of the rectangle.

The perimeter of the rectangle is 70 cm, with length and breadth in a ratio 5 : 2 respectively. If the area of the rectangle is equal to the perimeter of the square, then find the side of the square.

If the length and the breadth of the rectangle are in the ratio 4 : 7 and the perimeter of the rectangle is 946 m. Find the area of the rectangle.

The area of a square is 48400 square meters. If each side of the square is increased by 10%, then find the area difference between them.

A rectangular carpet has a perimeter of 38 metres and the difference between its length and breadth is 12m. The length of its diagonal (in meters) is:

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.

A rectangular courtyard is 4m 95cm long and 16m 65cm broad. It is to be paved with the square tiles of the same size. Find the least number of such square tiles required to pave the rectangular courtyard.

If the radius of the circle is 42 cm, the angle formed at the center by an arc is 150°. What is the length of the corresponding arc?

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

What is the radius of a circular field whose area is equal to the sum of the areas of three smaller circular fields of radii 8 m, 9 m, and 12 m, respectively?

The area of the sector of a circle is 128 cm². If the length of the arc of that sector is 64 cm, then find the radius of the circle.

The diameter of a semicircle is 5.6 m. What is its perimeter (in m, correct to one decimal place)? (Take \(\pi =\frac{22}{7}\).)

Half of the perimeter of a square is 50 cm. What is the length of each side of the square?

The area of a triangular park, whose sides are 160 m, 300 m, and 340 m, is 4\(17\over22\)of the area of a circular park. What is the perimeter (in m) of the circular park (correct to one decimal place)? (Take π = \(22\over7\))

A race track is in the shape of a ring whose inner and outer circumferences are 880 m and 1012 m, respectively. What is the area (in m²) of the track? (Take \(\pi = {22 \over 7}\))

The width of a rectangle is 2 m less than its length. If the perimeter of the rectangle is 68 m, then what is the length (in metres) of the rectangle?

If the side of an equilateral triangle is increased by 34%, then by what percentage will its area increase?

The radii of the two concentric circles are 27 cm and 18 cm. The area (in cm²) of the closed figure bounded by the boundaries of the circle is:

A square park having a side 22 m has two roads each 2 m wide running in the middle of it and parallel to its length and breadth. What will be the cost of gravelling the path at the rate of ₹ 100/m²?

The Perimeter of circular garden is 506 m. The cost (in Rs.) of levelling is at Rs. 14/m² is: (Take \(\pi=\frac{22}{7}\))

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

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:

If the area of a sector of a circle is 462 cm² and the central angle is 120°, then its radius is ____.

A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 ft, and the sum of the lengths of the painted sides is 37 ft, then what is the area of the parking space in square feet?

A rectangular playground of length 125m and width 75 m, has a walking strip of width strip of width 3m in the middle of the ground, along the longer side. What is the area of the ground without the walking strip?

If the circumference of a circle is 22 cm, find the area of the semicircle.

A square park having a side 22 m has two roads each 2 m wide running in the middle of it and parallel to its length and breadth. What will be the cost of gravelling the path at the rate of ₹ 100/m²?

A path of 2.5 m in width surrounds a rectangular garden of length 10 m and breadth 8 m. Area of the garden, inclusive of the path is:

Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of 108°. [Use π= 22/7]

A circle is inscribed in the rectangle in such a way that it touches the two longest sides, find the area of a circle if the breadth of the rectangle is 14 cm. Given length is longer than the breadth of the rectangle.

If the length of the diagonal of the square is {4 × (20% of 345)} cm then find the perimeter of the square.

Half of the perimeter of a square is 50 cm. What is the length of each side of the square?

A buffalo is placed for grazing inside a rectangular field measuring 24 m and 46 m. It is tethered to one corner by a rope 15 meters long. How much area is left ungrazed?

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)

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