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, an
Mathematics
laurynrandle17
Question
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
1 Answer

1. User Answers carlosego
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