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2 Math Questions - Area of Circles

UnderdogUnderdog Registered User regular
edited February 2011 in Help / Advice Forum
I'm filling in the homework for my class and I want to make sure I'm doing these two questions correctly.

1. The diameter of a circle is 10 cm. Find the remainin area if a frame of 2cm is to be cut off from the original circle.

Area would have been Pi x 5^2 but when you cut off 2cm for the frame, then the radius is shortened to 3. So I went with:

3^2 x 3.14 = 28.26

2. A circular picture of circumference 88 cm is mounted on a circular cardboard, leaving a margin of 7 cm all round. Find the area of the margin. Use 22/7 as Pi.

So the radius of picture is 88 / 22/7 = 14.

The radius of the whole cardboard then is 14 + 7 = 21.

So the area of the margin is:

21^2 x 22/7 - 14^2 x 22/7 = 770

Thanks!

Underdog on

Posts

  • wmelonwmelon Registered User regular
    edited February 2011
    the first one is correct.

    the second one 14 cm is the diameter not the radius.

    wmelon on
  • UnderdogUnderdog Registered User regular
    edited February 2011
    Oh whoops, I forgot to divide by 2. Ok so then it'll be

    14^2 x 22/7 - 7^2 x 22/7 = 462

    Underdog on
  • localh77localh77 Registered User regular
    edited February 2011
    Underdog wrote: »
    So the radius of picture is 88 / 22/7 = 14.

    I think your answer was right the first time, you just wrote this down wrong. It should be


    radius of picture = 88 / 22/7 / 2 = 14.

    localh77 on
  • UnderdogUnderdog Registered User regular
    edited February 2011
    ... oh poppycock. Yeah, I was copying my work off the sheet and missed the divide by 2. So it should still be

    21^2 x 22/7 - 14^2 x 22/7 = 770

    Underdog on
  • tarnoktarnok Registered User regular
    edited February 2011
    I didn't check the actual arithmetic but the way you've set it up looks correct.

    tarnok on
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