All categories

3 years ago

The area of circular garden is 530.66 feet2. What is the circumference of the garden? (Use 3.14 for .)

Mathematics

1 answer:

adelina 88 [10]3 years ago

6 0

Answer:

The answer to your question is Circumference = 81.64 ft

Step-by-step explanation:

Data

Area of a circle = 530.66 ft²

Circumference = ?

π = 3.14

Process

1.- Calculate the radius of the circle

Area = πr²

-Solve for r²

r² = Area / π

-Substitution

r² = 530.66 / 3.14

-Simplification

r² = 169

-result

r = 13 ft

2.- Calculate the Circumference

Circumference = 2πr

-Substitution

Circumference = 2(3.14)(13)

-Result

Circumference = 81.64 ft

You might be interested in

How to find the value of a+b+c given that a=4,b=3 and c= -2

Alexus [3.1K]

Answer: 5

Step-by-step explanation: 4 + 3 + -2 = 5

8 0

2 years ago

On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)

xz_007 [3.2K]

Answer:

$P = 10 + 2\sqrt{53}$ units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3), X (2, 3),

Y (4, -4), Z (-3, -2)

Required

Determine perimeter of the kite

First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

For WX:

$(x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)$

$WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}$

$WX = \sqrt{(-5)^2 + (0)^2}$

$WX = \sqrt{25}$

$WX = 5$

For XY:

$(x_1, y_1)\ (x_2,y_2) = (2, 3)\ (4,-4)$

$XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}$

$XY = \sqrt{-2^2 + (3 +4)^2}$

$XY = \sqrt{-2^2 + 7^2}$

$XY = \sqrt{4 + 49}$

$XY = \sqrt{53}$

For YZ:

$(x_1, y_1)\ (x_2,y_2) = (4,-4)\ (-3, -2)$

$YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}$

$YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}$

$YZ = \sqrt{7^2 + (-2)^2}$

$YZ = \sqrt{49 + 4}$

$YZ = \sqrt{53}$

For ZW:

$(x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)$

$ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}$

$ZW = \sqrt{(-3 +3)^2 + (-2 - 3)^2}$

$ZW = \sqrt{0^2 + (-5)^2}$

$ZW = \sqrt{0 + 25}$

$ZW = \sqrt{25}$

$ZW = 5$

The Perimeter (P) is as follows:

$P = WX + XY + YZ + ZW$

$P = 5 + \sqrt{53} + \sqrt{53} + 5$

$P = 5 + 5 + \sqrt{53} + \sqrt{53}$

$P = 10 + 2\sqrt{53}$ units

6 0

3 years ago

25.7 divided by 1.8

ololo11 [35]

The answer is 14.27 :) correct me if wrong I think I am

7 0

2 years ago

Read 2 more answers

System of equation x 3y=9 y=x-1

olga2289 [7]

8 0

3 years ago

A radio tower 200 ft. high casts a shadow 75 ft. long. What is the angle of elevation of the sun?

Jet001 [13]

Angle of elevation of the sun: 69 degrees

Step-by-step explanation:

tan(x) = 200/75

x = tan^-1 (200/75)

x = 69 degrees

3 0

2 years ago