SOLUTION: Assuming that a 90° arc has an exact length of 5𝜋 in., find the length of the radius of the circle in inches

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Question 1194230: Assuming that a 90° arc has an exact length of 5𝜋 in., find the length of the radius of the circle in inches
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Ninety degrees is 1%2F4 of 360 degrees. This means circumference is 20pi inches. What to do next should be straightforward.

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

Under given conditions, the circumference is 4 times the given arc length, i.e. 

    4+%2A+%285%2Api%29 = 20%2Api  inches.


To find the radius, divide the circumference by 2pi.  You will get then the


ANSWER.  The radius is  %2820pi%29%2F%282pi%29 = 10 inches.

Solved.



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Assuming that a 90° arc has an exact length of 5𝜋 in., find the length of the radius of the circle in inches
Circumference (entire arc length) of ANY circle: 2ꙥr
Arc length of this circle's 90o angle: 5ꙥ inches
Fraction of this circle's circumference equal to this arc length: 90%2F360 
We then get:  
          Radius, or