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Furkat [3]
3 years ago
7

What is the approximate circumference of the circle shown below?

Mathematics
2 answers:
Crank3 years ago
8 0

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 .

zzz [600]3 years ago
5 0

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.

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