In the figure,a square is inscribed in a circle of diameter d and another square is circumscribing the circle. Find the ratio of the area of the outer square to the area of the inner square.
Answers
Answer: firstly find the sides of both square in terms of radius of circle and then compare their ratios of areas
Step-by-step explanation:
Answer:
Step-by-step explanation:
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Secondary School Math 6+3 pts
A square is inscribed in a circle of diameter d and another square is circumscribing the circle. Find the ratio of the outer square to the area of the inner square.
Report by Amimariam1 28.12.2017
Answers
harsh1346
Harsh1346Ambitious
diameter will be the hypotenuse of the small square and a parallel line for a side in the large square.
so in small square,(a -- side)
(a)2 + (a)2 = (d)2
2(a)2=(d)2
side a= d/ root 2
in large square ,(A----side)
A= d
side A= d
now to find ratio =large square area/small square area
= (d)2/2/(d)2
=1/2
thus the ration is 2:1 and the larger circle is not 4 times the small one.