Question

Calculate the area covered by 3 equal circles of radius
2.8 cm touches one another.

Answer 1

Answer:

Since the radius of the circles are equal and the circles touch one another, in the figure, ABC is an equilateral triangle and the area of the sectors DAF, DBE and ECF are equal. Hence,

Area enclosed = area of the equilateral triangle ABC - 3 times area of the sector

=

4

3

a

2

−3×

360

∘

θ

×πr

2

=

4

3

×6×6−3×

360

∘

60

∘

×

7

22

×3×3

=9

3

−

7

99

=15.59–14.14=1.45cm

2

Area=1.45cm

2

Answer 2

Explanation:

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