Points $$A, B$$ and $$C$$ lie on a circle with center $$Q$$. - The area of sector $$A Q B$$ is twice the area of sector $$B Q C$$. - The length of arc $$A B$$ is $$28$$ centimeters. What is the length, in centimeters, of arc $$ B C$$ ?

Area of sector $$=\pi \times$$ Radius $$\times$$ Arc length Given that, The area of sector $$A Q B=2 \times A$$ Area of sector $$B Q C$$ Or, $$\pi \times$$ Radius $$\times A B=2 \times \pi \times$$ Radius $$\times B C$$ Or, $$A B=2 \times B C$$ Or,$$28=2 \times B C$$ Or, $$B=14 {~cm}$$

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Points $A, B$ and $C$ lie on a circle with center $Q$ .

The area of sector $A Q B$ is twice the area of sector $B Q C$ .
The length of arc $A B$ is $28$ centimeters.

What is the length, in centimeters, of arc $B C$ ?

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