Question a-circ

4.3 Circles - Radius, diameter, circumference, area
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A circle has a radius of 2.1 inches. The area of the circle is bπ square inches, where b is a constant. What is the value of b ?

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A circle has a radius of 2.1 inches. The area of the circle is b π

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

The correct answer is 4.41 . 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 area of the circle is bπ square inches, where b is a constant, and the radius of the circle is 2.1 inches. Substituting bπ for A and 2.1 for r in the formula A=πr2 yields bπ=π2.12. Dividing both sides of this equation by π yields b = 4.41 . Therefore, the value of b is 4.41 .