Answer :
Answer
Formula
[tex]Circumference\ of\ circle = 2\pi r[/tex]
where r is the radius of a circle.
As shown in the image
Diameter of the circle = 16 .3 cm
[tex]Radius\ of\ the\ circle = \frac{16.3}{2}[/tex]
= 8.15 cm
Put in the formula
[tex]Circumference\ of\ circle = 2\pi\times 8.15[/tex]
As
[tex]\pi = 3.14[/tex]
[tex]Circumference\ of\ circle = 2\times 3.14\times 8.15[/tex]
= 51.2 cm (approx)
Therefore the circumference of a circle is 51.2cm (approx) .
Option (D) is correct .
The circumference of the circle [tex]\boxed{51.2{\text{ cm}}}.[/tex] Option (D) is correct.
Further explanation:
The formula for the circumference of the circle can be expressed as follows,
[tex]\boxed{{\text{Circumference of circle}} = 2\pi r}[/tex]
The formula for the area of the circle can be expressed as follows,
[tex]\boxed{{\text{Area of circle}} = \pi {r^2}}[/tex]
Here, “r” represents the radius of the circle.
The relationship between the radius and the diameter can be given by,
[tex]\boxed{r =\dfrac{d}{2}}[/tex]
Here, “d” represents the diameter of the circle.
Given:
The options are as follows.
A.[tex]102.4{\text{ cm}}[/tex]
B.[tex]63.4{\text{ cm}}[/tex]
C.[tex]25.6{\text{ cm}}[/tex]
D.[tex]51.2{\text{ cm}}[/tex]
Explanation:
The diameter of the circle is [tex]16.3{\text{ cm}}.[/tex]
The radius of the circle can be obtained as follows,
[tex]\begin{aligned}{\text{Radius}}&= \frac{{16.3}}{2}\\&= 8.15\\\end{aligned}[/tex]
The radius of the circle is [tex]8.15{\text{ cm}}.[/tex]
The circumference of the circle can be obtained as follows,
[tex]\begin{aligned}{\text{Circumference of circle}}&= 2\times\frac{{22}}{7}\times 8.15\\&=\frac{{44}}{7}\times 8.15\\&= 51.2\\\end{aligned}[/tex]
The circumference of the circle [tex]\boxed{51.2{\text{ cm}}}[/tex].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.