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16

Previous

Select the correct substitution into the formula to find the arc length in the circle below.

M

formulas: 1 =

A

B

12 ft 150°

D

150

360

12

2T12

-2π150

360

12

360

150

360

x

360

T150

T12

N

2πr and 1=

I

360

πα

16 Previous Select the correct substitution into the formula to find the arc length in the circle below M formulas 1 A B 12 ft

Answer :

The arc length in the circle is 5π (approximately 15.71 units).

To find the arc length in a circle, we can use the formula:

Arc Length = (θ/360) * 2πr

where θ is the central angle in degrees, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14159.

Based on the given options, the correct substitution into the formula to find the arc length is:

Arc Length = (150/360) * 2π * 12

Simplifying this expression, we get:

Arc Length = (5/12) * 2π * 12

Arc Length = 5π

Therefore, the arc length in the circle is 5π (approximately 15.71 units).

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