Question

Solution for 29
The figure one

Answer 1

area of shaded portion is 12.56

Answer 2

see diagram.  Your diagram is not very clear related to the shaded regions.

I will calculate the various regions. Please find the appropriate region yourself.

r = 2 cm
Side of the equilateral triangle = a = 2+2 = 4 cm
Angle ∠A = ∠B = ∠C = 60°
Area B1 = B2 = B3 = π 2² * (60°/360°) = 2π/3 cm²
Rose color shaded region = 3 * 2π/3 = 2π cm²

Area of ΔABC:  √3/4 a² = √3/4 * 4² = 4√3 cm²

Violet colored region enclosed among the circles = (4√3 - 2π) cm²

In an equilateral triangle, O is the centroid. AO= BO= CO = 2/3 * altitude
     AO = 2/3 * (√3/2 * a) = a/√3 = 4/√3  cm
So radius of the biggest circle: R = AO + r = 2 + 4/√3 cm

Grey shaded region:  π [(2+4/√3)]²  -  3 * π * 2²  cm²
              = 8 π [ 2√3 - 1 ]/3  cm²

Blue shaded region = 3 * π 2² * (300°/360°) = 10π cm²