A section of stained glass is made by placing a circle at the top of a triangle with a base of 10 centimeters and a height of 8 centimeters. The diameter of the circle is equal to the height of the triangle. What is the area of the section of stained glass? Show your work. Use Pi = 3,14

So basically all we need is the area of the triangle plus the area of the circle.

area = (1/2)(10)(8) + π(4)^2
= 40 + 16π
= ......

you do the arithmetic

To find the area of the section of stained glass, we first need to find the area of both the circle and the triangle separately, and then add them together.

1. Area of the Circle:
The diameter of the circle is equal to the height of the triangle, which is 8 centimeters. So, the radius (r) of the circle is half of the diameter, which is 4 centimeters.
The formula to find the area (A) of a circle is: A = πr².
Given that π = 3.14 and the radius (r) is 4 centimeters, we can calculate the area of the circle as follows:
A_circle = 3.14 * 4²
A_circle = 3.14 * 16
A_circle ≈ 50.24 square centimeters (rounded to two decimal places)

2. Area of the Triangle:
The base of the triangle is given as 10 centimeters, and its height is 8 centimeters. The formula to find the area (A) of a triangle is: A = (base * height) / 2.
Substituting the given values, we can calculate the area of the triangle as follows:
A_triangle = (10 * 8) / 2
A_triangle = 80 / 2
A_triangle = 40 square centimeters

3. Total Area of the Stained Glass Section:
To find the total area of the section of stained glass, we sum the area of the circle and the area of the triangle:
Total Area = Area of Circle + Area of Triangle
Total Area ≈ 50.24 + 40
Total Area ≈ 90.24 square centimeters (rounded to two decimal places)

Therefore, the area of the section of stained glass is approximately 90.24 square centimeters.

To find the area of the stained glass section, we need to calculate the areas of the triangle and the circle separately, and then subtract the area of the circle from the area of the triangle.

Step 1: Calculate the area of the triangle.
The formula to find the area of a triangle is: A = (base * height) / 2.
In this case, the base of the triangle is given as 10 cm and the height is given as 8 cm.
A = (10 * 8) / 2
A = 80 / 2
A = 40 square cm

Step 2: Calculate the area of the circle.
The formula to find the area of a circle is: A = π * r^2.
Given that the diameter of the circle is equal to the height of the triangle, the radius (r) of the circle is half of the diameter (8 cm / 2 = 4 cm).
A = 3.14 * 4^2
A = 3.14 * 16
A = 50.24 square cm

Step 3: Find the area of the stained glass section.
The area of the section of stained glass is the area of the triangle minus the area of the circle.
Area = Triangle area - Circle area
Area = 40 square cm - 50.24 square cm
Area = -10.24 square cm

The area of the section of stained glass is -10.24 square cm.

However, it's important to note that a negative area does not make physical sense, so there might be an error in the given information or calculations. Please check the given values and calculations again.