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A rectangle with one side of length 4 cm. is inscribed in a circle of diameter 5 cm. Find, the area of the rectangle.
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- 21 cm.²
- 12 cm.²
- 4 cm.²
- 3 cm.²
- 21 cm.²
Correct Option: B
Let AB = 4 cm.
Diagonal of rectangle = Diameter of cirlce = 5 cm.
In ∆ABC,
BC = √AC² – AB²
= √5² – 4² = √25 – 16
= √9 = 3 cm.
∴ Area of rectangle = 4 × 3 = 12 sq. cm.