Find the area and the perimeter of the figure. Use in terms of pi. (no approximations)

See below.

Step-by-step explanation:

So first, we can separate the entire figure into a semi-circle and an isosceles triangle.

AREA:

The area for a semi-circle is .

The diameter is 8cm, so the radius is 4cm.

Area of the semi-circle is:

The area for a triangle is .

The base is the same as the diameter (8), and we are given the height as 10. Thus:

The total area is

PERIMETER:

The perimeter of a semicircle is: (this is derived from dividing the circumference by 2 and then adding on the diameter).

Thus, the perimeter is:

However, we ignore the 8 since the 8 is not part of the perimeter.

The perimeter of the triangle is the two slant lengths. We know the base and the height, so we can use the Pythagorean Theorem:

Two of them will be

Thus, the total perimeter is

you should at least use a calculater

step-by-step explanation: