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daser333 [38]
3 years ago
10

Find the arc length of the semicircle. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a d

ecimal.

Mathematics
1 answer:
juin [17]3 years ago
7 0

Answer:

9.42

Step-by-step explanation:

The circumference of a circle is calculated using the following formula:

C=2πr (C: circumference, r : radius)

radius here is 6 and π  is given as 3.14

2*(3.14)*6 = 18.84 now divide this by 2 to find the length of semicircle

18.84/2 = 9.42

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Zielflug [23.3K]

Answer:

The area of the associated sector is \frac{25}{24}\pi \ in^{2}  

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

C=2\pi r

we have

C=5\pi\ in

substitute and solve for r

5\pi=2\pi r

r=2.5\ in

step 2

Find the area of the circle

we know that

The area of the circle is equal to

A=\pi r^{2}

we have

r=2.5\ in

substitute

A=\pi (2.5^{2})=6.25\pi\ in^{2}

step 3

Find the area of the associated sector

we know that

2\pi\ radians subtends the complete circle of area 6.25\pi\ in^{2}

so

by proportion

Find the area of a sector with a central angle of \pi/3\ radians

\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}

8 0
3 years ago
If he has his choices narrowed down to 77 hip-hop, 55 jazz, 77 pop, and 88 blues songs, and he wants to play all 55 jazz songs,
Gnom [1K]

Answer:

1.27 × (10^73)

Step-by-step explanation:

55!

= 1.2696403 × (10^73)

4 0
3 years ago
What is the value of b
Talja [164]

Answer:

Step-by-step explanation:

b is an inscribed angle. The rule for this is that the measure of an inscribed angle is half the measure of the arc it intercepts. The arc it intercepts is 56 degrees, so the measure of angle b is half of that at 28

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The sum of 5xy and (2xy + xy) is
AleksAgata [21]
8xy that is the answer
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3 years ago
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Sauron [17]
Y^2 = (2x+1)/(x-1)
xy^2-y^2 = 2x + 1
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4 0
3 years ago
Read 2 more answers
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