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If the outer and inner radii of a circular path are 2a and b, then its area is ___________ sq. units.
Question

If the outer and inner radii of a circular path are 2a and b, then its area is ___________ sq. units.

A.

(4a2+b2)(-4a^2+b^2)​​

B.

π(4a2+b2)π(-4a^2+b^2)​​

C.

π(4а2b2)π(4а^2-b^2)​​

D.

(4a2b2)(4a^2-b^2)​​

Correct option is C

Given:

Outer radius R = 2a

Inner radius r = b

Formula Used:

Area =π(R2r2)= \pi (R^2 - r^2)

Solution:

Area =π((2a)2b2)=π(4a2b2) \pi \left((2a)^2 - b^2\right) = \pi (4a^2 - b^2)

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