A circle is inscribed in a square and another is circumscirebd. Ratio of areas
Answers
Answered by
1
Answer:1:2
Step-by-step explanation:
Answered by
1
Answer:
1:2
Step-by-step explanation:
Let a be the side of the square.
The side of the square will be the diameter of the inscribed circle.
Radius of inscribed circle = a/2
Area of inscribed circle = π(a/2)² = 1/4 a²π
The diagonal of the square will be the diameter of the circumscribed circle.
Radius of circumscribed circle = √2a/2
Area of circumscribed circle = π(√2a/2)² = 1/2 a²π
The ratio of the area is 1 : 2
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