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3 years ago

The diameter is 14 feet. What is the area of the garden. Use 3.14

Mathematics

2 answers:

mojhsa [17]3 years ago

5 0

Answer:

153.93804

Step-by-step explanation:

Area = π $r^2$

r = $\frac{d}{2}$

Area = π $*7^2$ = 153.938040026

Ainat [17]3 years ago

5 0

Answer:

Step-by-step explanation:

This is the answer because you have to use the formula

1. What do you have?

Formula: A = pi*r^2

Parts of Formula:

pi = 3.14

r = d/2

d = diameter = 14

r = radius = 7

2. Make Use of What you have

Make an equation:

pi * r^2

3.14 * 7^2 = A

3. Solve

3.14 * 7^2

= 3.14 * 49

= 153.86

<h2>SO the answer is 153.86</h2><h2></h2>

Hope this helped,

Kavitha

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Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

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(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

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II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

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