CBSE Class 10-Mathematics: Chapter – 12 Areas Related to Circles Part 26 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 4:

In given figure, two circular flower beds have been shown on two sides of a square lawn ABCD of side . If the corner of each circular flower bed is the point of enter section O of the diagonals of the square lawn. Find the sum of the areas of the lawn and the flower beds.

Area of the Square

Answer:

Area of the square lawn

Let meter

By Pythagoras theorem,

Again, area of sector

[From (ii) ]

Also, area of

[Here, .] Since square ABCD is divided into 4 right triangles]

Area of flowerbed

Similarly, area of the other flowerbed

Total area of the lawn and the flowerbeds

Question 5:

An elastic belt is placed round the rein of a pulley of radius . One point on the belt is pulled directly away from the center of the pulley until it is at , from . Find the length of the best that is in contact with the rim of the pulley. Also find the shaded area.

Find the Shaded Area

Answer:

Length of the belt that is in contact with the rim of the pulley

Circumference of the rim – length of arc

Now, area of sector

Area of Quadrilateral

Area of quadrilateral OAPB

Hence, shaded area