a circle has a radius of 7ft. Find the radian measure of the central angle 0 that intyercepts an arc of length 16ft

Mathematics

1 answer:

Iteru [2.4K]3 years ago

8 0

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 = $\frac{16}{7}$

θ = 2.29

Therefore, the radian measure of the central angle is 2.29 rads

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