Question

Find the length of the arc A.8 pie ft B.32 pie ft C.64 pie ft D. 361 pie/ 12 ft

Answer 1

Answer: Choice A. 8pi  feet

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Explanation:

The perimeter around the circle is known as the circumference

The full circumference of a circle with radius r is

C = 2*pi*r

In this case, r = 16 is the radius, so,

C = 2*pi*r

C = 2*pi*16

C = 2*16*pi

C = 32pi

is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get

(1/4)*32pi = (1/4*32)pi = 8pi

The arc length is exactly 8pi feet long

Approximately this is about 25.13274 feet

Answer 2

Answer:

A.   8π  ft.

Step-by-step explanation:

perimeter of a circle = 2 π r

where r = 16

find: length of arc.

since the arc is 1/4 of a circle. just multiply it with the formula above.

arc length = 1   x 2 π 16

                     4

arc length = 8π  ft.