The sum of the areas of two circles is 80 square meters. Find the length of a radius of each circle if
one of them is twice as long as the other.
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What is the radius of the larger circle?

Step-by-step explanation:

let the radii be r and 2r

then π r²+π(2r)²=80

πr²+4πr²=80

5πr²=80

πr²=80/5=16

r=√(16/π)=4/√π

radius of larger circle=2×4/√π=8/√π

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

6 cm

step-by-step explanation: