# 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).

**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

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.

**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.

**Answer:**

(i) Distance around the track along its inner edge

(ii) Area of track