SmartBoy56564
Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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 :)

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.