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devlian [24]
2 years ago
13

Find the circumference of the circle and show work

Mathematics
2 answers:
Soloha48 [4]2 years ago
7 0

Hey ! there

Answer:

  • Circumference of circle is<u> </u><u>31</u><u>.</u><u>4</u><u> </u><u>yards</u>

Step-by-step explanation:

In this question we are provided with a circle having <u>diameter 1</u><u>0</u><u> </u><u>yd</u> . And we are asked to <u>find the circumference of circle .</u>

For finding circumference of circle , we need to know the formula for finding circumference . So ,

\qquad   \quad \underline{\boxed{\frak{Circumference{(Circle)} = 2\pi r}}}

<u>Where ,</u>

  • π refers to <u>3.14 or 22/7</u>

  • r refers to <u>radius of </u><u>circle</u>

<u>Solution : -</u>

After reading question we get to know that we aren't provided with radius . So finding radius :

  • Radius = Diameter/2

  • Radius = 10/2

  • Radius = <u>5 yd</u>

<u>Now , finding circumference :</u>

\quad \: \longmapsto \qquad \:2 \times 3.14 \times 5

Multiplying 2 with 3.14 :

\quad \:\longmapsto \qquad \:6.28 \times 5

Multiplying 6.28 with 5 :

\quad \: \longmapsto \qquad \:    \orange{\underline{\boxed{\frak{31.4 \:  yards}}}} \quad \bigstar

  • <u>Henceforth</u><u> </u><u>,</u><u> </u><u>circumference</u><u> of</u><u> circle</u><u> </u><u>having </u><u>diameter</u><u> </u><u>1</u><u>0</u><u> </u><u>yards </u><u>is </u><em><u>31</u></em><em><u>.</u></em><em><u>4</u></em><em><u> </u></em><em><u>yards</u></em><em><u>. </u></em>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

expeople1 [14]2 years ago
4 0

Answer:

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

<u>Circumference</u><u> </u><u>of </u><u>a </u><u>circle </u><u>is </u><u>given </u><u>by </u>

<u>C = 2\pi \: r</u>

  • Given - <u>Diameter</u><u> </u><u>of </u><u>circle </u><u>=</u><u> </u><u>1</u><u>0</u><u> </u><u>yards</u>

radius =  \frac{diameter}{2}  =  \frac{10}{2}  \\  \\ \implies \: 5 \: yards

now ,

<u>substituting</u><u> </u><u>the </u><u>value </u><u>of </u><u>r </u><u>in </u><u>the </u><u>formula </u><u>of </u><u>circumference</u><u> </u><u>~</u>

C =  2 \times  \frac{22}{7}   \times 5 \\  \\ \implies \: C =  \frac{220}{7}  \\  \\ \implies \: C = 31.43 \: yards \: (approx.)

hope helpful :D

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