Question

Two identical circles with same inside design as shown in the figure out to be made at the entrance identical triangle is Liza to be painted red and the remaining are to be painted green find the total area to be painted

Answer 1

Area to be painted red= 1512 cm²

Answer 2

Answer: 1512 cm²

⏩ For one identical triangular leaf, let

a= 28 cm, b= 15 cm and c= 41cm.

Also,

s= a + b + c/2

= 28 + 15 + 41/2

= 84/2

= 42 cm.

Now, using Heron's formula,

Area of one triangle leaf

= √s(s-a)(s-b)(s-c)

= √42(42-28) (42-15) (42-41)

=√42 × 14 × 27 × 1

=√3 × 14 × 14 × 3 × 9

= 9 × 14

= 126 cm²

Now, as we see, there are 6 leaves in the circle.

So, total number of leaves in 2 circles

= 2 × 6 = 12

Therefore,

Area of 12 leaves = (12 × 126) cm²

= 1512 cm²

→ Hence, the total area to be painted red

= 1512 cm². [The required solution]

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Hope it helps... :-)

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