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Geometry and Trigonometry
Difficulty: Medium
A circle has a radius of meters. What is the area, in square meters, of the circle?
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Explanation
Choice D is correct. The area, , of a circle is given by the formula , where is the radius of the circle. It’s given that the circle has a radius of meters. Substituting for in the formula yields , or . Therefore, the area, in square meters, of the circle is .
Choice A is incorrect. This is the area, in square meters, of a circle with a radius of meters.
Choice B is incorrect. This is the area, in square meters, of a circle with a radius of meters.
Choice C is incorrect. This is the circumference, in meters, of the circle.