Find the area of a circle with diameter 18 yd.
Use the value 3.14 for TT, and do not round your answer.
Be sure to Include the correct unit In your answer.

Respuesta :

Answer:

  • Area of the circle is 254.34 yd²

Step-by-step explanation:

Given:

  • Diameter of circle = 18 yd
  • π = 3.14

To Find:

  • Area of circle.

Solution:

  • Diameter = 18 yd
  • Radius = 18/2 = 9 yd

We know that,

[tex] \: \: \: \: \dashrightarrow \: \: \: \: \: {\underline{\boxed{\sf{Area \: of \: circle = \pi r^2}}}} \\ \\[/tex]

Substituting the required values,

[tex]\\[/tex]

[tex] \: \: \: \: \dashrightarrow \: \: \: \: \: \sf Area_{(circle)} = 3.14 \times {(9)}^{2} \\ \\ [/tex]

[tex] \: \: \: \: \dashrightarrow \: \: \: \: \: \sf Area_{(circle)} = 3.14 \times 81 \\ \\ [/tex]

[tex] \: \: \: \: \dashrightarrow { \: \: \: \: \: \sf Area_{(circle)} = 254.34 \: {yd}^{2}} \\ \\ [/tex]

Hence,

  • Area of the circle is 254.34 yd²

[tex]\sf\large \green{\underbrace{\red{Answer⋆}}}:[/tex]

[tex]\sf{\Large {Area \: of \: circle \: is \: 254.34 \: {yd}^{2}}}[/tex]

Step-by-step explanation:

[tex] \textsf{\blue{\underline{\large{To find :-}}}}[/tex]

The area of the circle

[tex] \textsf{\red{\underline{\large{Given :-}}}}[/tex]

Diameter (d) = 18 yd

radius (r) = ?

π = 3.14

[tex] \textsf{\orange{\underline{\underline{\huge{Solution :-}}}}}[/tex]

First we have to find radius

[tex] \sf \purple{radius = \frac{diameter}{2}} \\

\sf r = \frac{d}{2} \\

\sf r = \frac{18}{2} \\

\sf r = 9 \: yd [/tex]

With the help of radius we can find area

[tex] \sf \green{Area \: of \: circle = \pi {radius}^{2}} \\

\sf Area \: of \: circle = \pi {r}^{2} \\

\sf Area = 3.14 \times {9}^{2} \\

\sf Area = 3.14 \times 81 \\

\sf { \pink{ Area = 254.34 \: {yd}^{2}}}[/tex]