A polygon inscribed in a circle, luckily, has a derived formula already. It is:
A = (nr²/2)[sin (360/n)]
where n is the number of sides of the polygon and r is the radius of the circle. For this problem, n = 100 and r = 1. Substituting this to the equation,
A = (100(1)²/2)[sin (360/100)]
A = 3.14 square units
Thus, the 100-gon has an area of 3.14 square units.
Diameter of a semi circular garden = 18 feet
Radius of the garden :
Thus, the radius of the semi circular fence = 9 feet
We know that :
Which means, the circumference of Mary's semi circular garden :
(pi value = 3.14)
Thus, the circumference of fence needed for the semi circular garden = 28.26 feet
28.26 can be rounded off to 28.30 and 28.30 is the same as 28.3
Thus, Mary's reasoning is correct.
Therefore, Mary's reasoning is correct which means she needs 28.3 feet of fence to surround her garden.
Answer:
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Step-by-step explanation:
There was actually too much work for this on my paper so I can't really show it, but if you can memorize this parent function I would.
Answer:
Please, see the attached files.
Step-by-step explanation:
Please, see the attached files.
The angle of elevation is = 70° and the distance the airplane travelled in the air is = 17,557ft
<h3>Calculation of the distance travelled</h3>
- To calculate the angle of elevation of the airplane
tan x° = opposite/adjacent
where opposite = 16,500 feet
adjacent = 6,000 ft
tan x° = 16,500 / 6,000
tan x° = 2.75
X = arctan ( 2.75)
X = 70°
- To calculate the distance the airplane travelled in the air Pythagorean Theorem is used.
C² = a² + b²
C² = 16,500² + 6,000²
C² = 272250000 + 36000000
C² = 308250000
C= √308250000
C= 17,557ft
Learn more about Pythagorean Theorem here:
brainly.com/question/343682
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