The circle A touches circle B and passes through the centre of circle B. If the area of the circle A is 100 cm^2, then the area of circle B is ?
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Area of Circle B = 400 cm² if The circle A touches circle B and passes through the centre of circle B & area of the circle A is 100 cm²
Step-by-step explanation:
The circle A touches circle B and passes through the center of circle B.
=> Diameter of circle A = Radius of Circle B
=> 2 * Radius of Circle A = Radius of Circle B
Area of Circle A = π (Radius of Circle A)² = 100
Area of Circle B = π (Radius of Circle B)²
=> Area of Circle B = π (2 * Radius of Circle A)²
=> Area of Circle B = 4 * π (Radius of Circle A)²
=> Area of Circle B = 4 * Area of Circle A
=> Area of Circle B = 4 * 100
=> Area of Circle B = 400 cm²
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