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

The length of the arc is exactly 8π feet long.

To find the length of the arc.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.The perimeter around the circle is known as the circumference.

Given that:

Ф=90°

r=16 feet

The perimeter around the circle is known as the circumference.

The circumference of a circle with radius r is

C = 2*π*r

C = 2*π*16

C = 2*16*π

C = 32π

But we only want 90°/360° = 1/4 of that total distance. So multiply 1/4 to 32π to get.

=(1/4)*32π

= (1/4*32)π

= 8π

Therefore, the length of the arc is exactly 8π feet long.

Learn more about circle here:

https://brainly.com/question/17377122

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