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Geometry and Trigonometry / Area and volume Difficulty: Medium

A circle has a radius of $43$ meters. What is the area, in square meters, of the circle?

$StartFraction 43 pi Over 2 EndFraction$

$43 pi$

$86 pi$

$1,849 pi$

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Explanation

Choice D is correct. The area, $A$ , of a circle is given by the formula $A = π r^{2}$ , where $r$ is the radius of the circle. It’s given that the circle has a radius of $43$ meters. Substituting $43$ for $r$ in the formula $A = π r^{2}$ yields $upper A equals pi left parenthesis 43 right parenthesis squared$ , or $upper A equals 1,849 pi$ . Therefore, the area, in square meters, of the circle is $1,849 pi$ .

Choice A is incorrect. This is the area, in square meters, of a circle with a radius of $StartRoot StartFraction 43 Over 2 EndFraction EndRoot$ meters.

Choice B is incorrect. This is the area, in square meters, of a circle with a radius of $StartRoot 43 EndRoot$ meters.

Choice C is incorrect. This is the circumference, in meters, of the circle.