CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 8

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Question 19:

In a circular table cover of radius , a design is formed leaving an equilateral triangle ABC in the middle as shown in figure. Find the area of the design (shaded region).

Area of Circular Table Cover

Area of Circular Table Cover

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Answer:

Area of design Area of circular table cover Area of the equilateral triangle ABC

G is the centroid of the equilateral triangle.

radius of the circumscribed circle

The equilateral triangle

The Equilateral Triangle

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According to the question,

Now,

Required area

Question 20:

In figure ABCD is a square of side . With centers A, B, C and D, four circles are drawn such that each circle touches externally two of the remaining three circles. Find the area of the shaded region.

Find the area of the shaded region

Find the Area of the Shaded Region

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Answer:

Area of shaded region Area of square Area of sector

Question 21:

Figure depicts a racing track whose left and right ends are semicircular.

Figure depicts a racing track whose left and right

Figure Depicts a Racing Track Whose Left and Right

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Answer:

(i) Distance around the track along its inner edge

(ii) Area of track