1.A playground measures 36 meters in length and 21 meters in width. Flagpoles need to be installed all around the boundary, spaced 3 meters apart. How many flagpoles are required in total?
2.A plot's length is four times its width. A playground covering 1200 square meters takes up one-third of the entire plot's area. What is the length of the plot in meters?
3.Given that the diagonal AC of square ABCD measures 5.2 cm, what is the area of the square?
4.In a circle with a radius of 5 cm, two equal chords AB and AC each measure 6 cm. What is the length of the chord BC?
5.A large rectangular land plot with an area of 4320 square meters is initially divided into three smaller square plots by fencing parallel to its shorter side. However, a leftover area remains that cannot form a square. To cover this remaining area completely, three additional square plots are created by fencing parallel to the longer side of the original plot. After this, no land area is left unused. What are the dimensions of the original rectangular plot?
6.Which shape among the following has the largest perimeter?
7.What is the area of a sector in a circle with a radius of 12 meters and a central angle of 42°?
8.What is the area of a sector in a circle with a radius of 5 cm if the length of the arc is 3.5 cm?
9.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?
10.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?
11.If the perimeter of a semicircle measures 144 cm, what is the length of its radius?
12.If the radius of a semicircle measures 6.3 cm, what is its total perimeter?
13.What is the ratio of the perimeters of two squares if the diagonal of one square is three times that of the other?
14.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?
15.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?
16.If the radii of two circles are in the ratio 1 to 3, what is the ratio of their respective areas?
17.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?
18.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?
19.Calculate the total expense to fence a circular field with a diameter of 28 meters if the fencing costs Rs. 1.50 per meter.
20.A circle has an area of 616 square centimeters. What is the length of its circumference?