a circle has a radius of 7ft. Find the radian measure of the central angle 0 that intyercepts an arc of length 16ft
1 answer:
Answer:
2.29 rads
Step-by-step explanation:
The length of the arc of a circle of radius r is given by;
l = rθ ---------------------------(i)
Where;
l = length of the arc
θ = central angle o that intercepts that arc and measured in radians.
From the question:
l = 16ft
r = 7ft
Substitute these values into equation (i) as follows;
16 = 7θ
Make θ subject of the formula
θ =
θ = 2.29
Therefore, the radian measure of the central angle is 2.29 rads
You might be interested in