Answer:
49 - 9π
Step-by-step explanation:
Area of white portion = area of triangle - area of circle
To find the area of the triangle:
The area of a triangle can be calculated using this formula
where b = base length and h = height
The height given is 7m and the base length given is 14m
That being said we plug in the given values into the formula
![\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49](https://tex.z-dn.net/?f=%5Cfrac%7B14%2A7%7D%7B2%7D%20%5C%5C14%2A7%3D98%5C%5C%5Cfrac%7B98%7D%7B2%7D%20%3D49)
Hence, the area of the triangle is 49 sq meters.
To find the area of circle
( note that the area is in terms of pi; shown by the answer choices. )
Formula for area of a circle = ![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
We are given the diameter ( 6m )
However, we need the radius
To convert diameter to radius we divide by 2
6/2 = 3 so the radius = 3m
Now we plug in 3 into the formula
![A=\pi 3^2\\3^2=9\\A=9\pi](https://tex.z-dn.net/?f=A%3D%5Cpi%203%5E2%5C%5C3%5E2%3D9%5C%5CA%3D9%5Cpi)
Remember we do not apply pi because the answer should be in terms of pi.
Now we subtract the two
Area of white portion = 49 - 9π
Hence, the answer is A