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Readme [11.4K]
3 years ago
14

A stained glass window is shaped like a semicircle the bottom edge of the window is 36 inches long what is the area of the stain

ed glass window

Mathematics
1 answer:
musickatia [10]3 years ago
3 0
Check the picture below.

so, if the semi-circle has a diameter of 36, then the radius is half that, or 18

\bf \textit{area of a semi-circle}\\\\
A=\cfrac{\pi r^2}{2}\quad 
\begin{cases}
r=radius\\
-----\\
r=18
\end{cases}\implies A=\cfrac{\pi 18^2}{2}\implies A=\cfrac{324\pi }{2}
\\\\\\
A=162\pi

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Find the volume of a cone with a diameter of 5.5 km
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Answer:

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4 0
2 years ago
What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final
coldgirl [10]

Answer:

59.19 ft^2

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

we have

r=7.2\ ft

\pi =3.14

substitute

A=(3.14)(7.2)^{2}

A=162.78\ ft^2

step 2

we know that

The area of a circle subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2

7 0
3 years ago
(3 feet,9 inches)+(2 feet,11 inches)= feet, inches
stiv31 [10]
Hi there, 3 feet + 2 feet= 5 feet and 9 inches + 11 inches = 20 inches. Therefore the answer is 5 feet, 20 inches
6 0
3 years ago
I need help on questions 9, 10, and 11 please!
bulgar [2K]
In general, to find the surface area of a prism (a shape with 2 bases) is 
Area of Base*2 + Lateral Area (Lateral area = Perimeter of bases * height)

#9 Area of base= 2×1÷2=1 *2=2
Lateral area= 2+1+2.2=5.2 5.2*3=15.6
Answer=17.6
#10 Area of Base= 120*2=240
Lateral Area=500
Answer=740
#11
Area of base=8*2=16
Lateral Area= 41.4
Answer=57.4

8 0
3 years ago
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