+0  
 
+1
150
2
avatar+77 

1

The logo for a new company is a circle divided into 24 equally sized sectors. Six of the sectors are white, and the others are different colors.

The area of one of the white sectors is  13π/50 inches squared.

What is the radius of the circle? Enter your answer rounded to the nearest hundredth.

 

 

 

2.

What is the area of a triangle whose sides measure 13 inches, 15 inches, and 24 inches?

Enter your answer, in simplified radical form, and don't forget inch^2.

 Apr 2, 2020
 #1
avatar+112421 
+2

180  / 24  =  15°  for each sector

 

So....the white ones  occupy  6 * 15°   =  90°   =  area  of (1/4)  of the circle

 

So  we  have   that 

 

6 *(13/50) pi  =  (1/4) pi * radius ^2     divide both sides  by pi

 

(78/50)   =       (1/4)  * radius ^2          multiply  both sides  by 4

 

6.24  =  r^2               take the sqrt

 

sqrt (6/24)   = r  ≈  2.50  in

 

 

cool cool cool

 Apr 2, 2020
 #2
avatar+112421 
+1

What is the area of a triangle whose sides measure 13 inches, 15 inches, and 24 inches?

 

s  =semi-perimeter =   [   13  +  15   +  24  ]   /  2    =    [  52  ]  /   2   =   26

 

Area  = 

 

√   [s (s - a) (s - b) (s - c)  ]          where a,b,c  = triangle's sides

 

√   [26  ( 26 - 13) (26 - 15) (26 -24)  ]  =

 

√  [ 26  * 13 * 11  * 2  ]   =

 

√  [ 13 * 2 * 13 * 11 * 2 ]  =

 

13*2√ 11   

 

26√ 11  in ^2

 

 

cool cool cool

 Apr 2, 2020

37 Online Users

avatar