Question a-circ

4.3 Circles - Radius, diameter, circumference, area
0:00

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

A.

43 π 2

B.

43 π

C.

86 π

D.

1,849 π

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

Hard-difficulty · SAT Math · Circles — Radius, diameter, circumference, area. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. The area, A , of a circle is given by the formula A=πr2, 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=πr2 yields A=π432, or A=1,849π. Therefore, the area, in square meters, of the circle is 1,849π.

Choice A is incorrect. This is the area, in square meters, of a circle with a radius of 432 meters.

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

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