A circular target has a diameter of 16 inches. Which of the following represents the area … — Armed Services Vocational Aptitude Battery (ASVAB)

A circular target has a diameter of $16$ inches. Which of the following represents the area of the target, in square inches?

64\pi

The correct answer accurately divides the diameter of

16

inches by

2

to find the radius of

8

inches. It then squares the radius (

8^2 = 64

) and multiplies by

\pi

to find the area of

64\pi

square inches.

Find the radius of the circle.

r = 16 / 2 = 8

inches

The area formula requires the radius, which is exactly half of the diameter.

Apply the area formula for a circle (

A = \pi r^2

A = \pi(8)^2

Substituting the calculated radius into the standard area formula.

Simplify the expression.

A = 64\pi

square inches

Squaring the radius (

8 \times 8 = 64

) provides the final area in terms of

\pi

The area of a circle is found using the formula

A = \pi r^2

. When given the diameter, it must first be divided by 2 to find the radius.

Question