# The figure shows a piece of wire in the shape of a semicircle. if the piece of wire is bent to form a circle without any of the wire overlapping, what is the area of the resulting circle? a. 9/2pi b. 9pi c. 81/4pi d. 81pi

the semicircle width is in the picture.

(w/ detailed explanation pl)

Answers: 2

## Answers

The figure shows a piece of wire in the shape of a semicircle. if the piece of wire is bent to form...

C. 81/4 pi

Step-by-step explanation:

Given: d = 18 then r = 9

Asked: Area

Solution:

Get the circumference of the wire in semicircle

C =πr

C = π9 or 9π

Since same circumference will be used to form a circle then the circumference of the circle is 9π.

Please take note that circumference of a circle is given by the formula C = 2πr

Equate :

9π = 2πr

r = 9/2

Area of the circle = πr^2

A = π (9/2)^2

A = 81/4 π

A = 81/4 pi

d

Step-by-step explanation:

answer:

A circle is a round shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Step-by-step explanation:

answer:

Dimensions of the garden (without path)

Width of the garden: x

Length of the garden: x + 5

For the Equation:

Width of garden including path : x + (2+2) ⇒ x + 4 meters

Length of garden including path: x + 5 + (2+2) ⇒ x + 9 meters

Area including path: 300 meters²

Equation:

(L) (W) = 300

(x+9) (x+4) = 300

x² + 13x + 36 = 300

x² + 13x + 36 - 300 = 0

x² + 13x - 264 = 0

FActor:

(x - 11) (x + 24) = 0

x - 11 = 0 x + 24 = 0

x = 11 x = -24

Dimensions of garden (without path):

Width: x ⇒ 11 meters

Length: x + 5 ⇒ 11 + 5 = 16 meters

ANSWER: The width of the garden (without path) is 11 meters.

Step-by-step explanation:

answer:

Well that is your answer ⬆️

I hope it's helps

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where is the question fhoee