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An arc in a circle with a radius of 4 inches is subtended by a central angle that measures 110°.

Explain how to find the arc length exactly, and then approximate the length to one decimal place.

Respuesta :

wolf1728
circumference of entire circle = 2 * PI * radius
circumference of entire circle = 25.1327412287 inches

110 degree central angle = (110 / 360) = 0.3055555556 of the entire circle

So, 25.1327412287 * 0.3055555556 =  7.6794487099 inches is the length of the subtended arc
ROUNDED = 7.7 inches


fllkhj

Answer:

7.7 in.

Step-by-step explanation:

Convert 110 to radians.  

110 (π/180) = 11π/18

Multiply 11π/18 and 4 which equals 22π/9

22π/9 = 7.7 in.

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