SOLUTION: The arch over the window is 36 inches. The radius of the circle that is formed is 12. What is the measure of the central angle?
Algebra.Com
Question 415213: The arch over the window is 36 inches. The radius of the circle that is formed is 12. What is the measure of the central angle?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The arch over the window is 36 inches. The radius of the circle that is formed is 12. What is the measure of the central angle?
..
In trigonometry there is a formula for a circle:
s=rx, r=radius,s=arc length, and x=central angle in radians.
For the given problem,the arc length is 36 and the radius is 12.
36=12x
x=36/12=3 radians
ans:
The central angle=3 radians
RELATED QUESTIONS
in a circle of radius 96.4 inches, what is the central angle that subtends a stand of... (answered by fractalier)
A circle has a radius of 1.5 inches. A central angle of this circle intercepts an arc... (answered by Alan3354)
Find the degree of the measure of the central angle associated with an arc that is 16... (answered by stanbon)
A circle has a radius of 1.2 inches. A central angle of this circle has a measure of 2... (answered by Alan3354)
what is the measure of a central angle that represents 25% of the... (answered by Alan3354)
The arc length of a circle is 18Ï€ and the radius of the same circle is 36 cm. How big is (answered by MathLover1)
In a circle graph, what is the measure of the central angle that represents... (answered by Alan3354)
the measure of the central angle of a circle is 70 and arc AC is 3 meter,what is the... (answered by Theo)
In a circle, a central angle that measures 36° intercepts arc AC. What is the measure of... (answered by KMST)