Question

what is the area of the drumhead on the drum? use 3.14 for \\(\pi\\). round to the nearest hundredth if necessary. 14 in. in\\(^2\\)

Explanation:

Step1: Find the radius of the drumhead

The diameter of the drumhead is 14 inches. The radius \( r \) is half of the diameter, so \( r=\frac{14}{2} = 7 \) inches.

Step2: Calculate the area of the circle

The formula for the area of a circle is \( A=\pi r^{2} \). We use \( \pi = 3.14 \) and \( r = 7 \). So \( A=3.14\times7^{2} \). First, calculate \( 7^{2}=49 \). Then, \( 3.14\times49 = 153.86 \) square inches.

Answer:

153.86