Find the green shaded area?

Attachment image

13 Answers

Relevance
  • Anonymous
    10 months ago

    24 - (2.5)^2pimmmmmmm

  • 10 months ago

    I found it its next to the yellow circle 

  • 10 months ago

    It's right there surrounding the yellow circle.

  • 10 months ago

    The way to find it would be to use the formula to find the area of the triangle and then to subtract from it the area of the circle. There is no direct way to find the green area on it's own.

  • What do you think of the answers? You can sign in to give your opinion on the answer.
  • Anonymous
    10 months ago

    It's right there along the inside edges of the triangle.

  • sepia
    Lv 7
    10 months ago

    The green shaded area:

    24 - 19.63 = 4.37

  • 10 months ago

    Hi Michelle,

    I'm surprised by the number of people offering the same wrong answer. This question looks deceptively straight-forward.

    The wrong answers are because either (or both):

    A) At least one of the three sides of the triangle is not tangent to the circle, so the circle overlaps one or more sides.

    B) This is not a right triangle.

    This is clear because the circle (the incircle) that has the sides of a 6, 8, 10 right triangle as tangents has a diameter of 4 units.

    In the non-right triangle with sides 8, 10 and x the radius of the incircle is given by 5/2 = √(((10+x)² – 8²)(8² – (10–x)²)) / (2(8+10+x)). This yields solutions for x around 8.7 and 13.7 — not 6. If you can get accurate figures then you can use Heron's formula for the area of the triangle and subtract the area of the circle.Animated graph: https://www.desmos.com/calculator/gi6e0nnvad

    In the 6, 8, 10 right triangle, the diameter extends about one quarter of its length beyond the hypotenuse. Knowing the radius of the circle and the height of the segment inside the triangle, it is possible to determine a good approximation of the area of the segment, which can then be subtracted from the area of the triangle.

    Attachment image
  • 10 months ago

    The area of the green shaded area:

    (24 - 19.635) units^2.

    = 4.365 units^2

  • Anonymous
    10 months ago

    its behind the circle

  • 10 months ago

    4.37cm2 for the green area, The working out is in the Comment section, a Yahoo glitch makes answers not appear

Still have questions? Get answers by asking now.