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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
Ninety degrees is of degrees. This means circumference is inches. What to do next should be straightforward.
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

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

     =   inches.


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


ANSWER.  The radius is   = 10 inches.

Solved.



Answer by MathTherapy(10552)   (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:  
We then get:  
          Radius, or

RELATED QUESTIONS

Find the length of an arc that subtends a central angle of 105° in a circle of radius 9... (answered by Alan3354)
In a circle of radius 8 inches an arc of length 32 inches has angle 𝜃. Find the... (answered by Alan3354)
Assuming that the exact area of a sector determined by a 40° arc is 9/25 𝜋 cm2,... (answered by ikleyn)
1. A circle has radius 7cm. An arc of the circle has length 10cm. What angle, in degrees... (answered by richwmiller)
a circle has a radius of 1 inch.What is the length in inches of an arc subtended by a... (answered by lwsshak3)
A circle has a radius of 1 inch. What is the length in inches of an arc subtendend by a... (answered by Edwin McCravy)
The circumference of a circle is 15π inches. Find the length of an arc of 90... (answered by unlockmath)
Find the radian measure of the central angle of a circle with a radius of 10 inches that... (answered by Alan3354)
find the radian measure of the central angle of a circle of radius r=4 inches that... (answered by Alan3354)