Question

Can someone help me to understand this? Math 20 points

Answer 1

20.52 cm²

Explanation:

Semicircle - triangle

(½ pi × 6²) - (½ × 12 × 6)

(½ × 3.14 × 36) - 36

20.52

Answer 2

Given:

A triangle is placed in a semicircle with a radius of 6 cm.

We need to determine the area of the shaded region.

Area of the triangle:

The area of the triangle can be determined using the formula,

`A=(1)/(2) bh`

Substituting b = 6 and h = 6, we get;

`A=(1)/(2)(6)(6)`

`A=(1)/(2)(36)`

`A=18`

Thus, the area of the triangle is 18 cm²

Area of the semicircle:

The area of the semicircle can be determined using the formula,

`A=(\pi r^2)/(2)`

Substituting π = 3.14 and r = 6, we get;

`A=((3.14)(6)^2)/(2)`

`A=(113.04)/(2)`

`A=56.52`

Thus, the area of the semicircle is 56.52 cm²

Area of the shaded region:

The area of the shaded region can be determined by subtracting the area of the triangle from the area of the semicircle.

Thus, we have;

Area = Area of semicircle - Area of triangle

Substituting the values, we get;

`Area = 56.52-18`

`Area = 38.52`

Thus, the area of the shaded region is 38.52 cm²