1.A square sheet of paper has each side measuring 20 cm. Two semicircles are drawn on opposite sides of the square, using those sides as diameters. If the semicircles are cut out, what is the area of the remaining paper?
2.A circular track has a radius of 13 meters and is surrounded by a 2-meter wide walkway. What is the total cost to level the walkway if the rate is 25 paise per square meter?
3.If the perimeter of a semicircle measures 144 cm, what is the length of its radius?
4.If the radius of a semicircle measures 6.3 cm, what is its total perimeter?
5.What is the ratio of the perimeters of two squares if the diagonal of one square is three times that of the other?
6.A calf is tied to a rope that is lengthened from 12 meters to 23 meters. What is the increase in the area of grass the calf can graze?
7.The radii of two circular fields are in the ratio 3:5. By what percentage is the area of the smaller field less than the area of the larger field?
8.If the radii of two circles are in the ratio 1 to 3, what is the ratio of their respective areas?
9.A wheel with a diameter of 14 cm rolls along a path measuring 1056 cm. How many complete turns does the wheel make to cover this distance?
10.A circular wheel has a radius of 1.75 meters. How many complete rotations will it make when it covers a distance of 1 kilometer?
11.Calculate the total expense to fence a circular field with a diameter of 28 meters if the fencing costs Rs. 1.50 per meter.
12.A circle has an area of 616 square centimeters. What is the length of its circumference?
13.Calculate the area of a circle with a radius measuring 7 meters.
14.Calculate the area of a quadrilateral if one of its diagonals measures 20 cm and the perpendicular distances (offsets) from the diagonal to the opposite vertices are 9 cm and 6 cm.
15.If the radius of a circle is increased by 1%, by what percentage does its area increase?
16.A canal has a trapezoidal cross-section with the top width measuring 10 meters and the bottom width measuring 6 meters. If the cross-sectional area is 640 square meters, what is the depth of the canal?
17.If the length of a square's side is increased by 25%, by what percentage does its area increase?
18.A parallelogram has an area of 128 square meters, and its height is double the length of the base. What is the length of the base?
19.A rhombus has a perimeter of 68 cm and one diagonal measuring 16 cm. What is the area of the rhombus?
20.A rhombus has diagonals measuring 15 cm and 20 cm. What is the area of the rhombus?