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Naddik [55]
3 years ago
8

A circle is inscribed inside a square as shown. If graphed on the coordinate plane, the coordinates of the center of the circle

would be (2, 5) and the coordinates of one other point on the circle would be (-2, 2). Find the area of the square.
A) 20
B) 25
C) 40
D) 100
Mathematics
2 answers:
avanturin [10]3 years ago
8 0
Length of side of the square = 2r 
where r=radius of inscribed circle

Given an inscribed circle
Centre of circle , O(2,5)
Point on circle, P(-2,2)
Radius of circle
=distance OP
=sqrt((2-(-2))^2+(5-2)^2)
=sqrt(4^2+3^2)
=5

Therefore area of square
=(2r)^2
=(2*5)^2
=10^2
=100
lapo4ka [179]3 years ago
3 0

The correct answer is D.) 100

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