Question

what is the area of the following circle? either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal. d=14

Explanation:

Step1: Find the radius

The diameter \( d = 14 \), so the radius \( r=\frac{d}{2}=\frac{14}{2} = 7 \).

Step2: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2} \). Using \( \pi = 3.14 \), we substitute \( r = 7 \) into the formula: \( A=3.14\times7^{2}=3.14\times49 = 153.86 \). Or, using the exact form with \( \pi \), \( A=\pi\times7^{2}=49\pi \).

Answer:

If using \( \pi = 3.14 \), the area is \( 153.86 \) square units. If using the exact form, the area is \( 49\pi \) square units.