Question

find the circumference and area of the following circle.
a circle with a diameter of 19 feet

the circumference is approximately 59.7 feet.
(round to the nearest tenth as needed.)

the area is approximately □
(round to the nearest tenth as needed.)

Explanation:

Step1: Find the radius

The diameter \( d = 19 \) feet, and the radius \( r=\frac{d}{2}\). So \( r = \frac{19}{2}=9.5 \) feet.

Step2: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 9.5 \) into the formula: \( A=\pi\times(9.5)^{2}=\pi\times90.25\approx3.14159\times90.25\approx283.5 \) square feet.

Answer:

The area is approximately \( 283.5 \) square feet.