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CBSE Class 10- Mathematics: Chapter – 12 Areas Related to Circles Part 21

Question 18:

A round table cover has six equal designs as shown in the figure. If the radius of the cover is , find the cost of making the design at the rate of per . (Use )

Illustration: CBSE Class 10- Mathematics: Chapter – 12 Areas Related to Circles Part 21

Answer:

Area of one design

Area of equilateral

[Area of equilateral triangle with side a ]

Total cost

Question 19:

Find the area of the shaded region where ABCD is a square of side .

Illustration: CBSE Class 10- Mathematics: Chapter – 12 Areas Related to Circles Part 21

Answer:

Area of square ABCD

Diameter of each circle

Radius of each circle

Area of one circle

Area of the four circles

Question 20:

ABCD is a flower bed. If and . Find the area of the bed.

Illustration: CBSE Class 10- Mathematics: Chapter – 12 Areas Related to Circles Part 21

Answer:

Here, m and

Area of the flower bed (i.e.. , shaded portion)

area of quadrant of a circle of radius R of the quadrant of a circle of radius r