The diagram below shows circle 0 with radii OA and OB. The length of a radius is 6
1 answer:
Answer:
124°
Step-by-step explanation:
We are to solve for the central angle.
In the question,
We are given
The length of the radius or radius = 6 inches
The length of the arc or the arc length (AB) = 13 inches
The formula for the Arc length of a circle = 2πr × (central angle in degree ÷ 360)
From the above formula, we can derive our formula for the measure of the central angle.
The formula for the measure of the central angle AOB =( Arc length × 360 ) ÷ 2πr
Angle AOB = (13 inches × 360) ÷ 2 × π × 6 inches
Angle AOB = 4680 ÷ 37.699111843
Angle AOB = 124.14083392°
Approximately Angle AOB to the nearest degree = 124°
Therefore, the measure of angle AOB to the nearest degree = 124°
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Hi there!
Below is the fraction we are working with:
To simplify this fraction down to its lowest form, we see what number(s) can go into the numerator and the denominator evenly. We can start off with the number 2. 2 goes evenly into each number, can't it? :)
So, we can cut down to
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is already in it's simplest form. Now, we can see if they're equivalent. If not, we have to start all over.
Since equals 83.3, we have to make sure
does, too.
Just divide the numerator by the denominator to see what you have.
5 ÷ 6 = 83.3 with a repeating decimal, so they're equivalent!
Hope this helps!
If you need anything else, don't just sit there - Let me know! :D