SAT数学备考经典模拟题训练4
>>SAT数学模拟题:SAT数学备考经典模拟题训练4
Read the following SAT test question and then click on a button to select your answer.
A circle in the xy-plane has its center at (-100,221) and a diameter of 17. Which of the following is an equation of the circle?
A.(x+100)^2+(y-221)^2=7
B.(x+100)^2+(y-221)^2=2
C.(x-100)^2+(y+221)^2=7
D.(x-100)^2+(y+221)^2=2
【答案解析】
答案:A
解析:
The formula for a circle with a center at (h,k) and a radius of r is: (x-h)^2+(y-k)^2=r^2
The length of the radius is half of the length of the diameter.
1/2*17=8.5
Using the coordinates of the center and the length of the radius of this circle in the equation yields: (x-(-100))^2+(y-221)^2=8.5^2
In standard form, the equation of this circle is: (x+100)^2+(y-221)^2=72.25
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