SmartBoy56564
Answered

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Work out the area of this circle.
Take pi to be 3.142 and give your answer in 2 decimal places.

Work Out The Area Of This Circle Take Pi To Be 3142 And Give Your Answer In 2 Decimal Places class=

Sagot :

fieryanswererft

Answer: 63.63  m²

Explanation:

Area of circle:

  • π(radius)²

Here given:

radius: (diameter/2) = (9/2) = 4.5 m

π should be taken as 3.142

So area of circle:

  • 3.142(4.5)² = 63.6255 ≈ 63.63 (rounded to two decimal place)

Hi student, let me help you out! :)

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We are asked to find the area of this circle.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

→ [tex]\bf{Area_{circle}=\pi r^{2}}[/tex]

Notice that we are asked to use 3.142 for [tex]\pi[/tex] (pi).

The radius isn't given to us;  what we have instead is...the diameter.

To find the radius, we divide the diameter by 2.

[tex]\ddot\bigstar[/tex] Remember this...

[tex]\fbox{\bf{To\;find\;the\;radius,\;we\;divide\;the\;diameter\;by\;2}}[/tex]

Thus, the radius is

[tex]\bf{9\div2=4.5}[/tex]

Now substitute the values (3.142 for pi and 4.5 for r):

[tex]\bf{A=3.142\times4.5^{2} }[/tex]

Simplifying,

[tex]\bf{A=3.142\times20.25}[/tex]

Simplifying,

[tex]\bf{A=63.6255\:m}[/tex]

Rounding to 2 decimal places (D.P.):

[tex]\bf{A=63.63\:m}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

~Just a smiley person helping fellow students :)

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