A Nice geometry math question|find the area of the semi circle.

JJ ONLINE MATHS CLASS
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A Geometry math question that involves knowledge of circle theorems, trigonometry and area of plane shapes. #maths #exam #geometry #trigonometry #circle
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Video Summary
AI GeneratedThe video demonstrates a geometric problem where the goal is to find the area of a semicircle based on given internal line segments. The instructor explains that the key to solving the problem is determining the radius of the circle, as the area is calculated using the formula $\\frac{1}{2}\\pi r^2$.
This looks like an impossible question.
Like, where do we even begin?
This is the information provided to us.
And we are asked to find the area of this semicircle.
Okay, welcome back to my channel.
Yes, we can do this.
It's tactical, but it's something we can do.
So this is a semicircle.
It is a freehand sketch.
So it's not to scale.
It is not drawn to scale.
So this is a semicircle.
And inside this semicircle, we have a line from here to here.
From here to here is 5.
From here to here is 1.
So from here to here is equal to from here to here.
Okay?
Alright, sorry.
From here to here is equal to from here to here.
And this is the center of the circle.
So we are asked to find the area of this particular semicircle.
To find the area of the semicircle, we need the radius.
Because the area of the semicircle, let's call it a-half,
is equal to half multiplied by pi r squared.
Okay?
The area of the full circle is pi times r squared.
So the area of the semicircle should be half of pi times r squared.
Now if you look at this particular formula,
You can see that pi is constant.
It's something we all know.
So the only problem here is to find the radius of this semicircle.
Now let's do it together.
Okay?
First we need to complete this circle.
Let's complete this circle.
Okay?
So if we complete it...
Phew!
Excuse Psychic
I'll try again.
Yes, I know it can't be perfect.
But I want something that is close.
Not perfect, I know.
But please, let's handle this.
Okay?
Now that we have done this,
Please extend this straight line until it reaches that point.
Okay?
So if we extrapolate it, we have...
