Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of 6. The estimated value of is 3.14. The measure of the angle subtended by the arc is

Question
Answer:

To solve this problem you must apply the proccedure shown below:

 1. You have that the arc lengt is 6 and the area os 78,5 cm^2. Therefore, you must apply the following formula:

 Arc lenght=radius x θ 

 2. The value of the radius is:

 A=2πr²
 r=√A/2π
 r=√25 
 r=5

 3. When you clear θ , you obtain:

 θ=Arc length/radius
 θ=6/5 radians

 Therefore, the answer is:6/5 radians
solved
general 11 months ago 1951