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9. Area of Plane Figures
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Q8 of 27 Page 228

Four equal circles, each of radius ‘a’ touch one another. Find the area between them.

Radius of each circle, r = a


We need to find the shaded area,


If we connect the four centers we will get a square of side 2a.


Area of square,AS = (2a)2 = 4a2




Area of shaded region = AS – [4 × AQ]





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6

In adjacent figure A, B, C and D are centers of equal circles which touch externally in pairs and ABCD is a square of side 7 cm. Find the area of the shaded region.

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The area of an equilateral triangle is 49√3 cm2. Taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle as shown in the figure. Find the area of the portion in the triangle not included in the circles.

8

Four equal circles are described about the four corners of a square so that each circle touches two of the others. Find the area of the space enclosed between the circumferences of the circles, each side of the square measuring 14 cm.

9

From a piece of cardboard, in the shape of a trapezium ABCD, and AB||CD and ∠BCD = 900, quarter circle is removed. Given AB = BC = 3.5cm and DE = 2cm. Calculate the area of the remaining piece of the cardboard. (Take to be)

Questions · 27
9. Area of Plane Figures
1 1 1 1 1 2 2 2 3 4 5 5 6 7 8 1 2 3 3 4 5 6 7 8 8 9 10
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