Square ABCD is incribed in Circle O. If the side of the square is 2 find the area of Circle O.
a. pi
b. 2 pi
c. 4 pi
d. 8 pi
e. 16 pi
please answer and explain
3 answers
Hint: If you have a side of the square, then you can get the diagonal from one corner of the square to the other.
A=pi r^2
= pi 2^2
= 4 pi
answer c
am i right?
= pi 2^2
= 4 pi
answer c
am i right?
the area of the square is 2^2, but the diameter of the circle is the diagonal of the square.
Since the side is 2, the diagonal is 2√2
The radius is half the diameter, or r = √2
the area of the circle is thus pi r^2 = 2pi
Since the side is 2, the diagonal is 2√2
The radius is half the diameter, or r = √2
the area of the circle is thus pi r^2 = 2pi