SOLUTION: Please help me solve this question how to find the angel at the center of a sector when the perimeter is 53 centimeters and the radius is 21 centimeters thank you

Question 1161248: Please help me solve this question how to find the angel at the center of a sector when the perimeter is 53 centimeters and the radius is 21 centimeters thank you
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If you want to find an "angel", either at the center of a sector or anywhere else, I suggest you consult your local priest, pastor, holy man, tribal shaman, or whatever floats your particular boat.

If you want the central angle of a sector of a circle with radius 21 cm where the perimeter of the sector, i.e. 2 times the circle radius plus the measure of the subtended arc is 53 cm, then:

So the arc length is 11 cm.

The circumference of the entire circle is

and the radian measure of the entire circle is

. The angle measure of the central angle of the sector ("CA") is in proportion to the radian measure of the entire circle as the arc length is to the circumference:

radians.

for an approximate value in degrees multiply by 180 and divide by a convenient approximation of

John

My calculator said it, I believe it, that settles it

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