Question

What is the approximate circumference of the circle shown below?

Answer 1

Answer

Formula

$Circumference\ of\ circle = 2\pi r$

where r is the radius of a circle.

As shown in the image

Diameter of the circle = 16 .3 cm

$Radius\ of\ the\ circle = \frac{16.3}{2}$

                                   = 8.15 cm

Put in the formula

$Circumference\ of\ circle = 2\pi\times 8.15$

As

$\pi = 3.14$

$Circumference\ of\ circle = 2\times 3.14\times 8.15$

                                                 = 51.2 cm (approx)

Therefore the circumference of a circle is 51.2cm (approx) .

Option (D) is correct .

Answer 2

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 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.