The circumference of the circle \(\boxed{51.2{\text{ cm}}}.\) Option (D) is correct.
Further explanation:
The formula for the circumference of the circle can be expressed as follows,
\(\boxed{{\text{Circumference of circle}} = 2\pi r}\)
The formula for the area of the circle can be expressed as follows,
\(\boxed{{\text{Area of circle}} = \pi {r^2}}\)
Here, “r” represents the radius of the circle.
The relationship between the radius and the diameter can be given by,
\(\boxed{r =\dfrac{d}{2}}\)
Here, “d” represents the diameter of the circle.
Given:
The options are as follows.
A.\(102.4{\text{ cm}}\)
B.\(63.4{\text{ cm}}\)
C.\(25.6{\text{ cm}}\)
D.\(51.2{\text{ cm}}\)
Explanation:
The diameter of the circle is \(16.3{\text{ cm}}.\)
The radius of the circle can be obtained as follows,
\(\begin{aligned}{\text{Radius}}&= \frac{{16.3}}{2}\\&= 8.15\\\end{aligned}\)
The radius of the circle is \(8.15{\text{ cm}}.\)
The circumference of the circle can be obtained as follows,
\(\begin{aligned}{\text{Circumference of circle}}&= 2\times\frac{{22}}{7}\times 8.15\\&=\frac{{44}}{7}\times 8.15\\&= 51.2\\\end{aligned}\)
The circumference of the circle \(\boxed{51.2{\text{ cm}}}\).Option (D) is correct.
Option (A) is not correct as the circumference of the circleis .
Option (B) is not correct as the circumference of the circle is .
Option (C) is not correct as the circumference of the circle is .
Option (D) is correct as the circumference of the circle is .
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Circle
Keywords: Circle, circumference, radius, diameter, area of the circle, angle, sector, arc, approximate.
