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How long is the arc intersected by a StartFraction 2 pi Over 3 EndFraction radian central angle in a circle with radius 7 feet? StartFraction 2 pi Over 21 EndFraction StartFraction 7 pi Over 3 EndFraction StartFraction 21 Over 2 pi EndFraction StartFraction 14 pi Over 3 EndFraction

Sagot :

Answer:

D) 14pi/3 feet

Step-by-step explanation:

on edge

The legnth of the arc of a circle is (14Ï€ / 3).

What is the legnth of the arc of the circle?

The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.

Given that the angle is 2Ï€ / 3 and the radius is 7 feet. The legnth of the arc of the circle is calculated as:-

Arc = Angle x radius

Arc = ( 2Ï€ / 3 ) x 7

Arc = 14Ï€ / 3

Hence, arc length is (14Ï€ / 3).

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