anonymous
  • anonymous
The area of the front face of the analog clock shown below is 78.5 square inches. The length of the minute hand is 0.25 inches less than the radius of the front face.What is the length of the arc, rounded to the nearest hundredth of an inch, the minute hand makes when it moves from the number 4 to the number 10 on the clock? Answer 14.92 inches 15.7 inches 22.08 inches 29.83 inches
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Mertsj
  • Mertsj
First find the radius of the clock face. Can you do that?
anonymous
  • anonymous
no
anonymous
  • anonymous
I dunno how

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More answers

Mertsj
  • Mertsj
\[A=\pi r^2\] What is the area given?
anonymous
  • anonymous
78.5 square inches
Mertsj
  • Mertsj
Replace A with 78.5 and then divide both sides by 3.14 which is pi
anonymous
  • anonymous
78.5/3.14?
Mertsj
  • Mertsj
Yes. What did you get?
anonymous
  • anonymous
25
Mertsj
  • Mertsj
|dw:1332444793250:dw|
Mertsj
  • Mertsj
So if r^2=25, then what is r?
anonymous
  • anonymous
um i dunno
Mertsj
  • Mertsj
What number should I square to get 25? How about 3? is 3 squared equal to 25?
anonymous
  • anonymous
5
Mertsj
  • Mertsj
So the radius is 5.
anonymous
  • anonymous
5^2 = 25
anonymous
  • anonymous
ok
Mertsj
  • Mertsj
The problem says that the minute hand is .25 less than the radius. So how long is the minute hand?
anonymous
  • anonymous
4.75?
Mertsj
  • Mertsj
Yes. Now, we have a circle whose radius is 4.75. This circle is formed as the minute hand goes around the clock.
anonymous
  • anonymous
ok
Mertsj
  • Mertsj
|dw:1332445190232:dw|
Mertsj
  • Mertsj
Find the circumference of that circle.
anonymous
  • anonymous
C = d(pi)?
Mertsj
  • Mertsj
yes
anonymous
  • anonymous
29.83?
Mertsj
  • Mertsj
Yes. Actually 29.845
anonymous
  • anonymous
Thank U!!!!!!!!!!!
Mertsj
  • Mertsj
Now we were not done. did you know that? And then my computer shut down.
anonymous
  • anonymous
@Mertsj can you please further explain?
anonymous
  • anonymous
Please, I really need help with this question @Mertsj @Mertsj @Mertsj
Mertsj
  • Mertsj
When the hand moves from the 4 to the 10, it moves half way around the circle so divide that answer by 2.

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