Question

find the length of arc shown in red.

Answer 1

Answer:

≈10.99525 cm.

Step-by-step explanation:

1. The length of the circle is L=2πr, where π≈3.1415 and r- radius of the circle.

2. if the given arc is 45° and full circle is 360°, then the length of the arc is 45/360=0.125 of full circle, that is L(arc)=0.125L=0.25πr; ⇒ L(arc)≈0.25*3.1415*14=10.99525 (cm).

Answer 2

Answer:

10.99 ≈ 11cm

Step-by-step explanation:

To find the length of the arc, first we need to find the circumference of the circle, which we find with the following formula :

$c=2\pi r$

where  $r$ is the radius which is indicated in the image: $r=14cm$.

so the circumference  is:

$c=2\pi(14cm)\\c=87.96cm$

This is the measure of the entire perimeter of the circle, it is the measure of the 360 ° arc.

Because we only want 45 ° of those 360 °, we divide the value of the circumference by 360 and multiply po 45:

$\frac{87.96cm(45)}{360}=\frac{3958.2}{360}=10.99cm$

which can be rounded to 11cm

The length of the arc is 11cm