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1 answer:
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Area inside the semi-circle and outside the triangle is (91.125π - 120) in²
Solution:
Base of the triangle = 10 in
Height of the triangle = 24 in
Area of the triangle =
Area of the triangle = 120 in²
Using Pythagoras theorem,
Taking square root on both sides, we get
Hypotenuse = 23 inch = diameter
Radius = 23 ÷ 2 = 11.5 in
Area of the semi-circle =
Area of the semi-circle = 91.125π in²
Area of the shaded portion = (91.125π - 120) in²
Area inside the semi-circle and outside the triangle is (91.125π - 120) in².
We want to convert this equation in terms of m, where
While solving this problem, I instantly noticed the in the first term of the equation. Replace that with m.
Simplifying the rest is not as obvious. Using the distributive property, we can change to
Do you see the "m" in here? Look again if you don't.
Now we can simplify the equation to and this cannot be simplified further.
I'm always happy to help someone who appreciates the help! :D
