Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an approximation for
To find the approximate area of the shaded region, we need to calculate the area of the right triangle and subtract the area of the circle.
1. Area of the right triangle:
The area of a right triangle is given by the formula A = 1/2 * base * height.
In the given diagram, the base of the triangle is 8 units and the height is 6 units.
A = 1/2 * 8 * 6 = 24 square units.
2. Area of the circle:
The area of a circle is given by the formula A = π * r^2, where π is approximately equal to 3.14 and r is the radius of the circle.
In the given diagram, the radius of the circle is the length of the hypotenuse of the right triangle, which is √(8^2 + 6^2) = √(64 + 36) = √100 = 10 units.
A = 3.14 * 10^2 ≈ 3.14 * 100 = 314 square units.
3. Area of the shaded region:
To find the area of the shaded region, we subtract the area of the circle from the area of the right triangle.
Shaded Area = Area of right triangle - Area of circle
Shaded Area ≈ 24 - 314
Shaded Area ≈ -290 square units
Therefore, the approximate area of the shaded region is -290 square units.
To find the approximate area of the shaded region, we need to find the area of the right triangle and subtract the area of the circle.
Step 1: Find the area of the right triangle.
The area of a triangle is given by the formula A = 1/2 * base * height. In this case, the base is the length of the triangle's base, and the height is the length of its height.
Step 2: Find the area of the circle.
The area of a circle is given by the formula A = π * r^2, where π is approximately 3.14 and r is the radius of the circle.
Step 3: Subtract the area of the circle from the area of the right triangle to find the approximate area of the shaded region.
Now let's calculate the area of the shaded region.
Assuming we have the measurements of the triangle's base and height, as well as the radius of the circle, we can plug those values into the formulas mentioned above.
For example, let's say the base of the right triangle is 8 units, the height is 6 units, and the radius of the circle is 2 units.
Step 1: Area of the right triangle:
A_triangle = 1/2 * base * height
A_triangle = 1/2 * 8 * 6
A_triangle = 24 square units
Step 2: Area of the circle:
A_circle = π * r^2
A_circle = 3.14 * 2^2
A_circle = 12.56 square units
Step 3: Area of the shaded region:
A_shaded_region = A_triangle - A_circle
A_shaded_region = 24 - 12.56
A_shaded_region = 11.44 square units
Therefore, the approximate area of the shaded region is 11.44 square units.
I assume you can find the area of a triangle and a circle.
If so, just subtract.