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The beach umbrella is put up 4 meters from the edge of circular swimming pool. The distance from the beach umbrella to a point of tangency is 8 meters. What is the radius of the circular swimming pool?​

Sagot :

Answer:

6 meters

Step-by-step explanation:

formula = c²=a²+b²

(4+r)² = r²+(8)²

(4+r) (4+r) = r² (8) (8)

(4+r) (4+r)

F = 4•4= 16

O = 4•r=4r

I = r•4=4r

L = r•r=r²

16+8r+r² = r²+64

16+8r+r²-r² = r²-r²+64

16+8r = 64

16-16+8r = 64-16

8r = 48

8r/8 = 48/8

r=6