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NCERT Class 10 Mathematics Solutions: Chapter 12- Areas Related to Circles Exercise 12.3 Part 6

Illustration: NCERT Class 10 Mathematics Solutions: Chapter 12- Areas Related to Circles Exercise 12.3 Part 6

1. On a square handkerchief, nine circular designs each of radius are made (see in the figure) . Find the area of the remaining portion of the handkerchief. .

Illustration: NCERT Class 10 Mathematics Solutions: Chapter 12- Areas Related to Circles Exercise 12.3 Part 6

Answer:

Number of circular design

Radius of the circular design

There are three circles in one side of square handkerchief.

Side of the square

Area of the square

Area of the circle

Total area of the design

Area of the remaining portion of the handkerchief = Area of the square - Total area of the design

2. In the given figure, is a quadrant of a circle with centre and radius . If , find the area of the

(i) Quadrant ,

(ii) Shaded region

Illustration: NCERT Class 10 Mathematics Solutions: Chapter 12- Areas Related to Circles Exercise 12.3 Part 6

Answer

Radius of the quadrant

Answer: (i)

Area of quadrant

Answer: (ii)

Area of triangle BOD

Area of shaded region = Area of quadrant - Area of triangle BOD