Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:

where:
= length of apothem
= perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where
= side length
a = 4, so:


Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²
Answer:
Step-by-step explanation:

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Answer:

Step-by-step explanation:
W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form
.
We know that vertex form of parabola in form
, where (h,k) in vertex of parabola.
Upon substituting coordinates of vertex, we will get:

To find the value of a, we will substitute coordinates of point (0, -1) as:







Therefore, our required equation would be
.
So you would take 2160/150 because you need the Circumference
This will give you 14.4 and you will need to device that by pie to find Diameter
Answer: 14.4
Sorry no need for Pie in this equation I just realized it was a scale.
Sorry about that!