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kolbaska11 [484]
3 years ago
10

what is the arc length when the central angle measures 60 degrees and the radius is 15 inches giving in terms of 3.14

Mathematics
1 answer:
Katena32 [7]3 years ago
4 0

To solve this problem, we make use of the formula for arc length:

s = r θ

where the variables are,

s = the length of the arc = unknown value

r = radius of the circle = 15 inches

θ = the angle in radians = 60 degrees

 

Since the given angle is in units of degrees, therefore we need to convert this first into rad:

θ = 60° (π / 180°)

θ = π / 3

 

Going back to the arc length formula:

s = 15 inches (π / 3)

s = 5 π inches

 

Answer:

5 π inches

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<h3>What is the Angles Intersecting Secants Theorem?</h3>

When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.

Given the following:

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