MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

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

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