what is the area of the square?
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In the figure above the square has two sides which are tangent to the circle, If the area of the circle is 4a²π, what is the area of the square?
A. 2a²
B. 4a
C. 4a²
D. 16a²
E. 64a²
The OA is D.
Experts, I need your help with this PS question, I don't have it clear. Please, can you explain it for me? Thanks.
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The area of the circle is 4a²πLUANDATO wrote:
In the figure above the square has two sides which are tangent to the circle, If the area of the circle is 4a²π, what is the area of the square?
A. 2a²
B. 4a
C. 4a²
D. 16a²
E. 64a²
The OA is D.
Experts, I need your help with this PS question, I don't have it clear. Please, can you explain it for me? Thanks.
Area of circle = π(radius)²
= 4a²π
= π4a²
= π(2a)²
So, the radius = 2a
This means the diameter = 4a (diameter is TWICE the radius)
What is the area of the square?
Each side of the square has length 4a
Area of square = side²
= (4a )²
= 16a²
= D
Cheers,
Brent
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We see that the radius of the circle is 2a, so a side of the square is 4a, and thus, the area of the square is (4a)^2 = 16a^2.BTGmoderatorLU wrote:
In the figure above the square has two sides which are tangent to the circle, If the area of the circle is 4a²π, what is the area of the square?
A. 2a²
B. 4a
C. 4a²
D. 16a²
E. 64a²
The OA is D.
Experts, I need your help with this PS question, I don't have it clear. Please, can you explain it for me? Thanks.
Answer: D
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