Find the area of the shaded part in the figure. Use 3.14 for ƒàƒnand round your answer to one decimal place. the triangle as a cicle in the middle the right side is 15ft and the bottom side is 15ft what is the answer
We need to see the figure or a better description of it. Is the ƒàƒn in your question supposed to be pi ?
Is the shaded part a circle? If so, use geometery to get the radius and then use the usual formula for the area
To find the area of the shaded part in the figure, which consists of a triangle and a circle, we can follow these steps:
1. Start by finding the area of the triangle:
- The base of the triangle is given as 15ft.
- The height of the triangle is also 15ft, as it is the same as the length of the base.
- To find the area of a triangle, we use the formula: Area = 0.5 * base * height.
- Substituting in the values, we have: Area of triangle = 0.5 * 15ft * 15ft = 112.5ft².
2. Next, find the area of the circle in the middle:
- The circle is inscribed within the triangle, so the diameter of the circle is equal to the base of the triangle, which is 15ft.
- To find the area of a circle, we use the formula: Area = ƒàƒn * radius².
- The radius of the circle is half of the diameter, so radius = 15ft / 2 = 7.5ft.
- Substituting in the values, we have: Area of circle = 3.14 * (7.5ft)² = 176.625ft² (rounded to three decimal places).
3. Finally, subtract the area of the circle from the area of the triangle to get the area of the shaded part:
- Shaded area = Area of triangle - Area of circle = 112.5ft² - 176.625ft² = -64.125ft² (rounded to three decimal places).
Since we have a negative area for the shaded part, it might indicate that there is either an error in the problem statement or an issue with the figure. Please double-check the given information and figure to ensure accuracy.