+0  
 
0
53
1
avatar

A target consists of four concentric circles with radii 4 inches, 6 inches, 9 inches and 13 inches as shown. Given that a dart is thrown that hits the target at a random point, what is the probability that it hits a shaded region? Express your answer as a common fraction.

 

 Dec 15, 2020

Best Answer 

 #1
avatar
+1

Total area (largest circle)   pi r^2 = 169pi

81pi - 36pi     will be the shaded ring

16 pi    will be the center shaded circle

 

Total shaded / total area = probability

 

(81pi-36pi+16pi) / 169 pi    = 61/169

 Dec 15, 2020
 #1
avatar
+1
Best Answer

Total area (largest circle)   pi r^2 = 169pi

81pi - 36pi     will be the shaded ring

16 pi    will be the center shaded circle

 

Total shaded / total area = probability

 

(81pi-36pi+16pi) / 169 pi    = 61/169

Guest Dec 15, 2020

35 Online Users

avatar
avatar