Jackson is creating a water garden surrounded by a triangular patch of grass. If the pond will take up the space indicated by the circle, how many square feet of sod will he need to complete the garden (use 3.14 for and round your answer up to the next foot)? the triangle is 6 by 8 by 10 and the circles diameter is 4
yall boyz lame as hell . yall aint helpen me
area of triangle: 24
area of circle: 4pi
grass: 24-4pi
Jackson is creating a water garden surrounded by a triangular patch of grass. If the pond will take up the space indicated by the circle, how many square feet of sod will he need to complete the garden (use 3.14 for and round your answer up to the next foot)?
Jackson is creating a water garden surrounded by a triangular patch of grass. If the pond will take up the space indicated by the circle, how many square feet of sod will he need to complete the garden (use 3.14 for and round your answer up to the next foot)?
if you guys arent going to put up sensible answers then just don't post anything
To find the area of the triangular patch of grass, we can use Heron's formula.
First, let's calculate the semiperimeter (s) of the triangle:
s = (6 + 8 + 10) / 2 = 12
Using Heron's formula, we can calculate the area (A) of the triangle:
A = √(s * (s - 6) * (s - 8) * (s - 10))
= √(12 * (12 - 6) * (12 - 8) * (12 - 10))
= √(12 * 6 * 4 * 2)
= √(576)
= 24
Therefore, the area of the triangular patch of grass is 24 square feet.
Now, let's calculate the area of the circle using its diameter:
Radius (r) = diameter / 2 = 4 / 2 = 2
The area of the circle (A) is calculated as:
A = π * r^2
= 3.14 * 2^2
= 3.14 * 4
= 12.56
Now, we add the area of the triangular patch of grass and the area of the circle:
Total area = 24 + 12.56 = 36.56
To round up to the next foot, we take the next whole number, which is 37.
Therefore, Jackson will need 37 square feet of sod to complete the water garden.