Suppose that the area between a pair of concentric circles is 49/pi. Find the length of a chord in the larger circle that is tangent to the smaller circle.

length of cord comes out to be 14

Step-by-step explanation:

Given,

area of concentric circle = 49 π

area of concentric circle = π (r₁² - r₂²)

where r₁ = outer radius and

r₂ = inner radius

π (r₁² - r₂²) = 49 π

r₁² - r₂² = 49 ... (1)

from the figure you can see that

r₁² - r₂² = l²

l² = 49

l = 7

so length of cord = 2 l = 2*7 = 14

hence the length of cord comes out to be 14