For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
Answer:
<h2><em><u>Option</u></em><em><u> </u></em><em><u>C</u></em></h2>
Step-by-step explanation:
<em><u>Here</u></em><em><u>,</u></em>
<em>[</em><em>Taking</em><em> </em><em>'</em><em>A'</em><em> </em><em>=</em><em> </em><em>'</em><em>a'</em><em>]</em>

<em><u>Then</u></em><em><u> </u></em><em><u>for</u></em><em><u> </u></em><em><u>'</u></em><em><u>r</u></em><em><u>'</u></em><em><u>,</u></em>




<em><u>Hence</u></em><em><u>,</u></em>
<em><u>Option</u></em><em><u> </u></em><em><u>C</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>correct</u></em><em><u> </u></em><em><u>.</u></em>
650 is your answer because you have ti take away the zeros
She originally started with 23.
We can tell this by working the equation backwards. Since she has 5 left and she had just given half to her brother, we know she had 10 a moment ago.
Before that, Mary had eaten a cookie. So we add 1 to the total and now have 11.
Before eating that cookie, she has given half to her sister, which would give her 22.
And before giving half to her sister, she had eaten the first one, which would give us 23 to start with.
This is a terrible question. Send the publisher a nasty note.
First let's answer the question.
Cosine is adjacent over hypotenuse, so the cosine of the angle labeled 16 degrees is 24 (the adjacent side to 16 degrees) divided by 25 (the hypotenuse).
Answer: 24/25
---------
Now I'm going to complain about the question. 24/25 is of course 0.96 exactly, while
cos 16° ≈ 0.96126169593831886191649704855706487352569
They're not the same, and never think 24/25 is the cosine of 16 degrees. It's approximately the cosine of 16 degrees; there's a big difference.
The cosine of 16 degrees is some awfully complicated algebraic number, a zero of some high degree polynomial with integer coefficients. Worse yet, the angle whose cosine is 24/25 is almost certainly a transcendental number, not the zero of any such polynomial.
Trigonometry as practiced forces approximations to be employed. Let's not sweep that under the rug in the questions, please.