The radius of a circle is 8 inches. find the number of radians in the central angle of the circle which intercepts an arc of 3 inches

The number of radians in the central angle is 0.375

Step-by-step explanation:

* Lets study the radians rule of the circle

- If the measure of the central angle is Ф radians

- If the length of the arc subtended by Ф is L

∴ L = r Ф

* Lets look to the our problem

∵ The radius = 8 inches

∵ The measure of the central angle is Ф

∵ The length of the intercepted arc of Ф = 3 inches

* Use the rule L = r Ф ⇒ divide both sides by r

∴ Ф = L/r

∴ Ф = 3/8 = 0.375 radians

* The number of radians in the central angle is 0.375

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step-by-step explanation:

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.