Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the circumference and area of the adjacent circle. use the π - key…

Question

find the circumference and area of the adjacent circle. use the π - key for π.
the circumference of the circle is approximately
(type an integer or decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is $C = 2\pi r$, where $r$ is the radius of the circle. Given $r = 18$.
$C=2\times\pi\times18$

Step2: Calculate the circumference

$C = 36\pi\approx36\times 3.14159 = 113.1$ (rounded to the nearest tenth)

Step3: Recall the formula for area

The formula for the area of a circle is $A=\pi r^{2}$. Substitute $r = 18$ into the formula.
$A=\pi\times18^{2}=\pi\times324$

Step4: Calculate the area

$A = 324\pi\approx324\times3.14159= 1017.9$ (rounded to the nearest tenth)

Answer:

The circumference of the circle is approximately $113.1$.
The area of the circle is approximately $1017.9$.