Question

In the given fig triangle PQR is an equilateral triangle of side 8 cm and P Q R are center of circular arcs each of the radius 4 cm find the area of shaded region

Answer 1

Answer:where is figure

Answer 2

The area of shaded region is 2.59 cm²

To find : Area of shaded region.

Given :

PQR is an equilateral triangle.

It has a side of 8 cm.

PQR are center of circular arcs each of the radius 4 cm.

Formula :

Area of shaded region = Area of ΔPQR - 3 ( Area of sector )          

Finding area of ΔPQR :

Radius ($r_1$) = 8 cm            

Area of ΔPQR = $\frac{\sqrt{3} }{4} \times\((r_1)^2$

                       = $\frac{\sqrt{3} }{4}\times8\times8$

                       = 27.71 cm²

Finding area of sector :

Radius ($r_2$) = 4 cm.

$\theta$ = 60°  

Area of sector = $\frac{\theta}{360^{\circ}} \times \pi r^{2}$

3 Area of sector = $3(\frac{\theta}{360^{\circ}} \times \pi \times\((r_2)^{2})$

                           = $3(\frac{60^{\circ}}{360^{\circ}} \times\(3.14\times 4\times4)$

                           = 3(8.373)

                           = 25.12 cm²

Area of shaded region = 27.71 - 25.12

                                      = 2.59 cm².

Therefore, the area of shaded region is 2.59 cm².

To learn more...

1. brainly.in/question/6941721

2. brainly.in/question/9613725