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VARDAAN LEARNING INSTITUTE

Mastersheet: Areas Related to Circles

Class: Class 10 Mathematics Type: Board Pattern Master Questions Time: 90 Mins
Section A: Board level Questions
  1. Find the area of a sector of a circle of radius 6 cm if angle of the sector is $60^\circ$.
  2. A round table cover has six equal designs. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of $.35 per $\text{cm}^2$ (Use $\sqrt{3} = 1.7$).
  3. Find the area of the shaded region in the figure, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.
  4. A chord of a circle of radius 15 cm subtends an angle of $60^\circ$ at the centre. Find the areas of the corresponding minor and major segments of the circle.
  5. 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 traveling at a speed of 66 km per hour?