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Question

There are two identical circles with same inside design as shown in the figure. The identical triangular leaves are to be painted red and the remaining area green. Find the total area to be painted red.

A
1512 cm2
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B
1162 cm2
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C
1632 cm2
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D
1521 cm2
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Solution

The correct option is A 1512 cm2
Area of one triangular leaf
=s(sa)(sb)(sc)
s=41+28+152=842=42
Area of a triangle
=42(4241)(4228)(4215)
=42×1×14×27
=126 cm2
Area of six triangular leaves
=126×6
=756 cm2
Since two such circles are there,
Total area to be painted red =756×2=1512 cm2

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