Related InterviewSolutions

• If the perimeter of a semicircular protractor is 66 cm, Find the diameter of the protractor.
• A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope. Find(i) the area of that part of the field in which the horse can graze.(ii) the increase in the grazing area if the rope were 10 m long instead of 5 m.
• The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is  travelling at a speed of 66 km per hour?
• The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
• ABCD is a field in the shape of a trapezium, `AD ||BC`, `angleABC=90^@` and `angleADC=60^@`, Four sectors are formed with centres A, B,C and D, as shown in the figure. The radius of each sector is 14m. Find the following: (i) total area of the four sectors, (ii) area of the remaining portion, given that `AD=55m, BC=45m` and `AB=30m`
• The radii of two circles are 19 cm and 9 cm respectively.Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
• In fig. O is the center of a circle such that diameter AB=13cm and AC= 12 cm. BC is joined. Find the area of the shaded region.
• Find the cost of fencing a circular field of 560 metres radius at Rs 332 per 10 metres
• PQRS is a diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semi-circles are drawn on PQ and QS as diameters as shown in figure. Find the perimeter of the shaded region.
• Figure shows a sector of a circle, centre O, containing an angle `theta`. Prove that (i) Perimeter of the shaded region is `r ( tan theta + sec theta + (pi theta)/180 -1)` (ii) Area of shaded region is `r^2/2 ( tan theta - pi theta/180)`