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SAT数学:圆的方程 2

2019-09-12 SAT-数学 阅读

SAT Question
Rank: Medium
Topic: Algebra, Geometry, Equation of a Circle

Below is a question from a recent SAT exam. It is a non-calculator question that would typically take a student 1-2 minutes to complete.

A circle in the xy-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?


To begin, we will recall the formula for the equation of a circle

Where a is the x-coordinate for the centre of the circle, b is the y-coordinate of the centre of the circle, and r is the radius.
We are told in the question that the circle has a radius of 2. Therefore,
Our equation now looks like this.

Next, we substitute a and b for the values given as the circle's centre.

So, the answer is A.


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