Question

PLEASE ANSWER THIS QUICKLY!

Consider the circle shown.

1. What is the length of the minor arc DE? (EXPRESS YOUR ANSWER AS A SIMPLIFIED FRACTION IN TERMS OF PI).

2. What is the length of the major arc DGE? (EXPRESS YOUR ANSWER AS A SIMPLIFIED FRACTION IN TERMS OF PI). ​

Answer 1

minor arc DE: (23/9)π

Major arc DGE:(49/9)π

Explanation:

This is a simple problem.

First solve the circumference of the circle: 2π (4).

then use the length formula

L=(x*c)/360

and then plug in, so first we use 115 as x(which is degrees) to find de

so

L = (115* 2π (4))/360

and you will get (23/9)π

To get the major arc you have to get the outside angle, so 360-115, and you do the same thing but with 245 as x.

Hope this helps and im correct!