SAT Math : How to find the area of a circle

Study concepts, example questions & explanations for SAT Math

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Example Questions

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Example Question #91 : Circles

What is  in radians?

Possible Answers:

Correct answer:

Explanation:

To convert degrees to radians, we need to remember the following formula.

.

Now lets substitute for degrees.

Example Question #91 : Circles

A circle is circumscribed by a square, and that square is the base of a cube. If the volume of the cube is 216, what is the area of the circle?

Possible Answers:

Correct answer:

Explanation:

The equation for the volume of a cube is 

If V= 216, then s = 6. 

When a circle is circumscribed by a square the diameter of the circle is equal to the length of one side of the square. In this case, one side of the square is equal to 6; therefore the diameter of the circle is also 6. We can find the area of a circle with the equation 

and since the radius is equal to half the diameter: 

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