You are given a circle of radius 12. what is the segment area of an arc that is 90 degrees?

The segment area

Step-by-step explanation:

Area of the segment = ,where is the angle.

We can also say that is covered with one segment and we have total segments (quadrants),so area of the circle divided by will give us the segement area of the arc.

So area

So the area of the segment

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.