Respuesta :

1) find the are of the circle: πr²

2) find the area of each triangle: (base x altitude)/2

3) subtract the triangles from the circle are

1) area of circle:π.5² = 25 π

2) Area of the triangle = (6 x 4)/2 =12 cm². We also notice that both triangles are congruent SSS (6,5 & 5), so the total surface of the 2 triangles = 24 cm²

3) (25π - 24) cm² is the answer

The area of the shaded region comes to be (25 π-24)cm²

What will be the area of the shaded region?

The area of the shaded region will be:

The area of the circle - 2*area of each triangle.

Area of each triangle = 0.5*base*height

From the diagram, we can say that

The base of each triangle = 6cm

Height of each triangle = (diameter of the circle -2)/2

Height of each triangle = (10-2)/2 = 4cm

So, area of each triangle = 0.5*base*height = 0.5*6*4 =12cm²

So, the area of the shaded region = π(5)²-2*12

Area of the shaded region = (25 π-24)cm².

Therefore, the area of the shaded region comes to be (25 π-24)cm².

To get more about circles visit:

https://brainly.com/question/25938130